105910761264 has 320 divisors, whose sum is σ = 353595939840. Its totient is φ = 26506690560.

The previous prime is 105910761247. The next prime is 105910761361. The reversal of 105910761264 is 462167019501.

It is a super-2 number, since 2×105910761264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91856112 + ... + 91857264.

It is an arithmetic number, because the mean of its divisors is an integer number (1104987312).

Almost surely, 2^105910761264 is an apocalyptic number.

105910761264 is a gapful number since it is divisible by the number (14) 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 105910761264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176797969920).

105910761264 is an abundant number, since it is smaller than the sum of its proper divisors (247685178576).

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

105910761264 is a wasteful number, since it uses less digits than its factorization.

105910761264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 105910761264 in words is "one hundred five billion, nine hundred ten million, seven hundred sixty-one thousand, two hundred sixty-four".