105662662272 has 80 divisors (see below), whose sum is σ = 314450401650. Its totient is φ = 35220883968.

The previous prime is 105662662253. The next prime is 105662662277. The reversal of 105662662272 is 272266266501.

105662662272 is a `hidden beast` number, since 1 + 0 + 566 + 2 + 6 + 62 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56899423296 + 48763238976 = 238536^2 + 220824^2 .

It is a super-2 number, since 2×105662662272² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105662662277) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5085247 + ... + 5105982.

Almost surely, 2^105662662272 is an apocalyptic number.

105662662272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105662662272 is an abundant number, since it is smaller than the sum of its proper divisors (208787739378).

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

105662662272 is an equidigital number, since it uses as much as digits as its factorization.

105662662272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10191255 (or 10191234 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 105662662272 in words is "one hundred five billion, six hundred sixty-two million, six hundred sixty-two thousand, two hundred seventy-two".