105417731052 has 36 divisors (see below), whose sum is σ = 272971933416. Its totient is φ = 34282188480.

The previous prime is 105417731033. The next prime is 105417731087. The reversal of 105417731052 is 250137714501.

105417731052 is a `hidden beast` number, since 1 + 0 + 541 + 7 + 7 + 3 + 105 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105417731052² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 105417730998 and 105417731016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35709138 + ... + 35712089.

It is an arithmetic number, because the mean of its divisors is an integer number (7582553706).

Almost surely, 2^105417731052 is an apocalyptic number.

105417731052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105417731052 is an abundant number, since it is smaller than the sum of its proper divisors (167554202364).

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

105417731052 is a wasteful number, since it uses less digits than its factorization.

105417731052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71421278 (or 71421273 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 105417731052 in words is "one hundred five billion, four hundred seventeen million, seven hundred thirty-one thousand, fifty-two".