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106424312508 = 22332114670191
BaseRepresentation
bin110001100011101100…
…0100010001010111100
3101011200220010020021000
41203013120202022330
53220424111000013
6120520214210300
710455202505403
oct1430730421274
9334626106230
10106424312508
1141152828188
1218761353990
13a0607800a7
14521836263a
152b7d239973
hex18c76222bc

106424312508 has 48 divisors (see below), whose sum is σ = 277222597120. Its totient is φ = 35306636400.

The previous prime is 106424312503. The next prime is 106424312531. The reversal of 106424312508 is 805213424601.

It is a happy number.

106424312508 is a `hidden beast` number, since 1 + 0 + 642 + 4 + 3 + 1 + 2 + 5 + 0 + 8 = 666.

It is a super-2 number, since 2×1064243125082 (a number of 23 digits) 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 not an unprimeable number, because it can be changed into a prime (106424312503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2312308 + ... + 2357883.

Almost surely, 2106424312508 is an apocalyptic number.

106424312508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106424312508 is an abundant number, since it is smaller than the sum of its proper divisors (170798284612).

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

106424312508 is a wasteful number, since it uses less digits than its factorization.

106424312508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670415 (or 4670407 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 106424312508 in words is "one hundred six billion, four hundred twenty-four million, three hundred twelve thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 422 633 844 1266 1899 2532 3798 5697 7596 11394 22788 4670191 9340382 14010573 18680764 28021146 42031719 56042292 84063438 126095157 168126876 252190314 504380628 985410301 1970820602 2956230903 3941641204 5912461806 8868692709 11824923612 17737385418 26606078127 35474770836 53212156254 106424312508