105238985160 has 64 divisors (see below), whose sum is σ = 318782206080. Its totient is φ = 27791262720.

The previous prime is 105238985153. The next prime is 105238985171. The reversal of 105238985160 is 61589832501.

It is a happy number.

It is a super-2 number, since 2×105238985160² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4244881 + ... + 4269600.

It is an arithmetic number, because the mean of its divisors is an integer number (4980971970).

Almost surely, 2^105238985160 is an apocalyptic number.

105238985160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105238985160 is an abundant number, since it is smaller than the sum of its proper divisors (213543220920).

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

105238985160 is a wasteful number, since it uses less digits than its factorization.

105238985160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8514598 (or 8514594 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 105238985160 in words is "one hundred five billion, two hundred thirty-eight million, nine hundred eighty-five thousand, one hundred sixty".