105127111872 has 112 divisors (see below), whose sum is σ = 325320355200. Its totient is φ = 33198024960.

The previous prime is 105127111861. The next prime is 105127111883. The reversal of 105127111872 is 278111721501.

105127111872 is a `hidden beast` number, since 1 + 0 + 512 + 71 + 1 + 1 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (105127111861) and next prime (105127111883).

It is a super-2 number, since 2×105127111872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1568154 + ... + 1633817.

Almost surely, 2^105127111872 is an apocalyptic number.

105127111872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105127111872 is an abundant number, since it is smaller than the sum of its proper divisors (220193243328).

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

105127111872 is a wasteful number, since it uses less digits than its factorization.

105127111872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202011 (or 3201995 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 36.

The spelling of 105127111872 in words is "one hundred five billion, one hundred twenty-seven million, one hundred eleven thousand, eight hundred seventy-two".