105597971700 has 144 divisors (see below), whose sum is σ = 330936485376. Its totient is φ = 25842931200.

The previous prime is 105597971663. The next prime is 105597971723. The reversal of 105597971700 is 7179795501.

It is a super-2 number, since 2×105597971700² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 596445 + ... + 752955.

Almost surely, 2^105597971700 is an apocalyptic number.

105597971700 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 105597971700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165468242688).

105597971700 is an abundant number, since it is smaller than the sum of its proper divisors (225338513676).

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

105597971700 is a wasteful number, since it uses less digits than its factorization.

105597971700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156714 (or 156707 counting only the distinct ones).

The product of its (nonzero) digits is 694575, while the sum is 51.

The spelling of 105597971700 in words is "one hundred five billion, five hundred ninety-seven million, nine hundred seventy-one thousand, seven hundred".