105705152764 has 12 divisors (see below), whose sum is σ = 184986640384. Its totient is φ = 52851826944.

The previous prime is 105705152711. The next prime is 105705152797. The reversal of 105705152764 is 467251507501.

It is a super-2 number, since 2×105705152764² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105705152764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 236572 + ... + 517084.

Almost surely, 2^105705152764 is an apocalyptic number.

It is an amenable number.

105705152764 is a deficient number, since it is larger than the sum of its proper divisors (79281487620).

105705152764 is a wasteful number, since it uses less digits than its factorization.

105705152764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374724 (or 374722 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 43.

The spelling of 105705152764 in words is "one hundred five billion, seven hundred five million, one hundred fifty-two thousand, seven hundred sixty-four".