105132051141552 has 60 divisors (see below), whose sum is σ = 297948077458720. Its totient is φ = 34600421890944.

The previous prime is 105132051141527. The next prime is 105132051141553. The reversal of 105132051141552 is 255141150231501.

105132051141552 is a `hidden beast` number, since 1 + 0 + 5 + 13 + 2 + 0 + 51 + 1 + 41 + 552 = 666.

It is a super-2 number, since 2×105132051141552² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105132051141553) 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, 4620771463 + ... + 4620794214.

Almost surely, 2^{105132051141552} is an apocalyptic number.

105132051141552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105132051141552 is an abundant number, since it is smaller than the sum of its proper divisors (192816026317168).

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

105132051141552 is a wasteful number, since it uses less digits than its factorization.

105132051141552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9241565770 (or 9241565761 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 105132051141552 in words is "one hundred five trillion, one hundred thirty-two billion, fifty-one million, one hundred forty-one thousand, five hundred fifty-two".