106359500520 has 256 divisors, whose sum is σ = 436347072000. Its totient is φ = 22440665088.

The previous prime is 106359500483. The next prime is 106359500539. The reversal of 106359500520 is 25005953601.

106359500520 is a `hidden beast` number, since 1 + 0 + 63 + 595 + 0 + 0 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×106359500520² (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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 442825 + ... + 639384.

It is an arithmetic number, because the mean of its divisors is an integer number (1704480750).

Almost surely, 2^106359500520 is an apocalyptic number.

106359500520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106359500520 is an abundant number, since it is smaller than the sum of its proper divisors (329987571480).

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

106359500520 is a wasteful number, since it uses less digits than its factorization.

106359500520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082249 (or 1082239 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 106359500520 in words is "one hundred six billion, three hundred fifty-nine million, five hundred thousand, five hundred twenty".