105971447052 has 36 divisors (see below), whose sum is σ = 267942250576. Its totient is φ = 35314587360.

The previous prime is 105971447047. The next prime is 105971447053. The reversal of 105971447052 is 250744179501.

105971447052 is a `hidden beast` number, since 1 + 0 + 597 + 1 + 4 + 4 + 7 + 0 + 52 = 666.

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

It is a super-2 number, since 2×105971447052² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105971446989 and 105971447007.

It is not an unprimeable number, because it can be changed into a prime (105971447053) 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, 244099 + ... + 521082.

Almost surely, 2^105971447052 is an apocalyptic number.

105971447052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105971447052 is an abundant number, since it is smaller than the sum of its proper divisors (161970803524).

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

105971447052 is a wasteful number, since it uses less digits than its factorization.

105971447052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769038 (or 769033 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 105971447052 in words is "one hundred five billion, nine hundred seventy-one million, four hundred forty-seven thousand, fifty-two".