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106797204 = 22341132917
BaseRepresentation
bin1100101110110…
…01100010010100
321102221212020000
412113121202110
5204320002304
614333011300
72434522053
oct627314224
9242855200
10106797204
1155314358
122b923b30
1319183617
141028039a
159598939
hex65d9894

106797204 has 60 divisors (see below), whose sum is σ = 281756244. Its totient is φ = 35271936.

The previous prime is 106797161. The next prime is 106797217. The reversal of 106797204 is 402797601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 58522500 + 48274704 = 7650^2 + 6948^2 .

It is a super-2 number, since 2×1067972042 = 22811285564435232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35154 + ... + 38070.

Almost surely, 2106797204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106797204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140878122).

106797204 is an abundant number, since it is smaller than the sum of its proper divisors (174959040).

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

106797204 is a wasteful number, since it uses less digits than its factorization.

106797204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 106797204 is about 10334.2732690790. The cubic root of 106797204 is about 474.4458231366.

The spelling of 106797204 in words is "one hundred six million, seven hundred ninety-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 324 339 452 678 1017 1356 2034 2917 3051 4068 5834 6102 8751 9153 11668 12204 17502 18306 26253 35004 36612 52506 78759 105012 157518 236277 315036 329621 472554 659242 945108 988863 1318484 1977726 2966589 3955452 5933178 8899767 11866356 17799534 26699301 35599068 53398602 106797204