105332601536 has 28 divisors (see below), whose sum is σ = 215761945920. Its totient is φ = 50967386880.

The previous prime is 105332601503. The next prime is 105332601541. The reversal of 105332601536 is 635106233501.

105332601536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105332601536² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105332601496 and 105332601505.

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 3 ways as a sum of consecutive naturals, for example, 26543531 + ... + 26547498.

Almost surely, 2^105332601536 is an apocalyptic number.

105332601536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105332601536 is an abundant number, since it is smaller than the sum of its proper divisors (110429344384).

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

105332601536 is an equidigital number, since it uses as much as digits as its factorization.

105332601536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53091072 (or 53091062 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 105332601536 in words is "one hundred five billion, three hundred thirty-two million, six hundred one thousand, five hundred thirty-six".