105705100700 has 36 divisors (see below), whose sum is σ = 242873017632. Its totient is φ = 39794860800.

The previous prime is 105705100693. The next prime is 105705100703. The reversal of 105705100700 is 7001507501.

It is a super-2 number, since 2×105705100700² (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 105705100700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105705100703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31088036 + ... + 31091435.

It is an arithmetic number, because the mean of its divisors is an integer number (6746472712).

Almost surely, 2^105705100700 is an apocalyptic number.

105705100700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105705100700 is an abundant number, since it is smaller than the sum of its proper divisors (137167916932).

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

105705100700 is a wasteful number, since it uses less digits than its factorization.

105705100700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62179502 (or 62179495 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 26.

The spelling of 105705100700 in words is "one hundred five billion, seven hundred five million, one hundred thousand, seven hundred".