105001706656 has 96 divisors (see below), whose sum is σ = 257864197248. Its totient is φ = 40888688640.

The previous prime is 105001706651. The next prime is 105001706657. The reversal of 105001706656 is 656607100501.

It is a super-2 number, since 2×105001706656² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105001706651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5295096 + ... + 5314888.

It is an arithmetic number, because the mean of its divisors is an integer number (2686085388).

Almost surely, 2^105001706656 is an apocalyptic number.

105001706656 is a gapful number since it is divisible by the number (16) 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 105001706656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128932098624).

105001706656 is an abundant number, since it is smaller than the sum of its proper divisors (152862490592).

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

105001706656 is a wasteful number, since it uses less digits than its factorization.

105001706656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21974 (or 21966 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 105001706656 in words is "one hundred five billion, one million, seven hundred six thousand, six hundred fifty-six".