105957600000 has 1296 divisors, whose sum is σ = 442338001056. Its totient is φ = 22364160000.

The previous prime is 105957599981. The next prime is 105957600031. The reversal of 105957600000 is 6759501.

It is a super-2 number, since 2×105957600000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1999199974 + ... + 1999200026.

It is an arithmetic number, because the mean of its divisors is an integer number (341310186).

Almost surely, 2^105957600000 is an apocalyptic number.

105957600000 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 105957600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221169000528).

105957600000 is an abundant number, since it is smaller than the sum of its proper divisors (336380401056).

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

105957600000 is an frugal number, since it uses more digits than its factorization.

105957600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The spelling of 105957600000 in words is "one hundred five billion, nine hundred fifty-seven million, six hundred thousand".