10105295760252 has 144 divisors (see below), whose sum is σ = 32090100666624. Its totient is φ = 2604715776000.

The previous prime is 10105295760227. The next prime is 10105295760271. The reversal of 10105295760252 is 25206759250101.

10105295760252 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 29 + 576 + 0 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10105295760198 and 10105295760207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13550949 + ... + 14277212.

It is an arithmetic number, because the mean of its divisors is an integer number (222847921296).

Almost surely, 2^{10105295760252} is an apocalyptic number.

10105295760252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10105295760252 is an abundant number, since it is smaller than the sum of its proper divisors (21984804906372).

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

10105295760252 is a wasteful number, since it uses less digits than its factorization.

10105295760252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27828320 (or 27828315 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 10105295760252 in words is "ten trillion, one hundred five billion, two hundred ninety-five million, seven hundred sixty thousand, two hundred fifty-two".