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106996296852 = 223231386311003
BaseRepresentation
bin110001110100101111…
…0011110110010010100
3101020011202102001021100
41203221132132302110
53223112022444402
6121053045550100
710505316342264
oct1435136366224
9336152361240
10106996296852
1141416690515
12188a0a15330
13a122119c73
1452702d57a4
152bb357171c
hex18e979ec94

106996296852 has 72 divisors (see below), whose sum is σ = 271666047744. Its totient is φ = 35507062656.

The previous prime is 106996296851. The next prime is 106996296853. The reversal of 106996296852 is 258692699601.

106996296852 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106996296851) and next prime (106996296853).

It is a super-2 number, since 2×1069962968522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106996296852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106996296851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9718783 + ... + 9729785.

It is an arithmetic number, because the mean of its divisors is an integer number (3773139552).

Almost surely, 2106996296852 is an apocalyptic number.

106996296852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106996296852 is an abundant number, since it is smaller than the sum of its proper divisors (164669750892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106996296852 is a wasteful number, since it uses less digits than its factorization.

106996296852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12189 (or 12184 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 106996296852 in words is "one hundred six billion, nine hundred ninety-six million, two hundred ninety-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 313 626 863 939 1252 1726 1878 2589 2817 3452 3756 5178 5634 7767 10356 11003 11268 15534 22006 31068 33009 44012 66018 99027 132036 198054 270119 396108 540238 810357 1080476 1620714 2431071 3241428 3443939 4862142 6887878 9495589 9724284 10331817 13775756 18991178 20663634 28486767 30995451 37982356 41327268 56973534 61990902 85460301 113947068 123981804 170920602 341841204 2972119357 5944238714 8916358071 11888477428 17832716142 26749074213 35665432284 53498148426 106996296852