105913695720 has 128 divisors (see below), whose sum is σ = 363683946240. Its totient is φ = 24172093440.

The previous prime is 105913695691. The next prime is 105913695733. The reversal of 105913695720 is 27596319501.

It is a super-2 number, since 2×105913695720² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105913695720.

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, 459864 + ... + 650616.

It is an arithmetic number, because the mean of its divisors is an integer number (2841280830).

Almost surely, 2^105913695720 is an apocalyptic number.

105913695720 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 105913695720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181841973120).

105913695720 is an abundant number, since it is smaller than the sum of its proper divisors (257770250520).

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

105913695720 is a wasteful number, since it uses less digits than its factorization.

105913695720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191435 (or 191431 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The spelling of 105913695720 in words is "one hundred five billion, nine hundred thirteen million, six hundred ninety-five thousand, seven hundred twenty".