10105074576 has 45 divisors (see below), whose sum is σ = 28283550321. Its totient is φ = 3367956096.

The previous prime is 10105074517. The next prime is 10105074583. The reversal of 10105074576 is 67547050101.

The square root of 10105074576 is 100524.

It is a perfect power (a square), and thus also a powerful number.

10105074576 is a `hidden beast` number, since 1 + 0 + 10 + 5 + 0 + 74 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1451610000 + 8653464576 = 38100^2 + 93024^2 .

It is a super-2 number, since 2×10105074576² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10105074576.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1202100 + ... + 1210476.

Almost surely, 2^10105074576 is an apocalyptic number.

10105074576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10105074576 is the 100524-th square number.

It is an amenable number.

10105074576 is an abundant number, since it is smaller than the sum of its proper divisors (18178475745).

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

10105074576 is an frugal number, since it uses more digits than its factorization.

10105074576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16768 (or 8382 counting only the distinct ones).

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

Multiplying 10105074576 by its sum of digits (36), we get a square (363782684736 = 603144²).

10105074576 divided by its sum of digits (36) gives a square (280696516 = 16754²).

The spelling of 10105074576 in words is "ten billion, one hundred five million, seventy-four thousand, five hundred seventy-six".