105937880160 has 192 divisors, whose sum is σ = 387629190144. Its totient is φ = 23817369600.

The previous prime is 105937880159. The next prime is 105937880171. The reversal of 105937880160 is 61088739501.

105937880160 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 2×105937880160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53476 + ... + 463395.

It is an arithmetic number, because the mean of its divisors is an integer number (2018902032).

Almost surely, 2^105937880160 is an apocalyptic number.

105937880160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105937880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193814595072).

105937880160 is an abundant number, since it is smaller than the sum of its proper divisors (281691309984).

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

105937880160 is a wasteful number, since it uses less digits than its factorization.

105937880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516957 (or 516949 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 105937880160 in words is "one hundred five billion, nine hundred thirty-seven million, eight hundred eighty thousand, one hundred sixty".