105972572160 has 1344 divisors, whose sum is σ = 472019132160. Its totient is φ = 22359048192.

The previous prime is 105972572137. The next prime is 105972572171. The reversal of 105972572160 is 61275279501.

105972572160 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 72 + 572 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×105972572160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8151736314 + ... + 8151736326.

Almost surely, 2^105972572160 is an apocalyptic number.

105972572160 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 105972572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236009566080).

105972572160 is an abundant number, since it is smaller than the sum of its proper divisors (366046560000).

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

105972572160 is an frugal number, since it uses more digits than its factorization.

105972572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 105972572160 in words is "one hundred five billion, nine hundred seventy-two million, five hundred seventy-two thousand, one hundred sixty".