105525542124 has 48 divisors (see below), whose sum is σ = 277047859200. Its totient is φ = 34729922448.

The previous prime is 105525542041. The next prime is 105525542137. The reversal of 105525542124 is 421245525501.

105525542124 is a `hidden beast` number, since 1 + 0 + 5 + 525 + 5 + 4 + 2 + 124 = 666.

It is a super-2 number, since 2×105525542124² (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, 6175572 + ... + 6192635.

It is an arithmetic number, because the mean of its divisors is an integer number (5771830400).

Almost surely, 2^105525542124 is an apocalyptic number.

It is an amenable number.

105525542124 is an abundant number, since it is smaller than the sum of its proper divisors (171522317076).

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

105525542124 is a wasteful number, since it uses less digits than its factorization.

105525542124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12368299 (or 12368291 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 105525542124 in words is "one hundred five billion, five hundred twenty-five million, five hundred forty-two thousand, one hundred twenty-four".