10108693764 has 81 divisors (see below), whose sum is σ = 27690791583. Its totient is φ = 3107954304.

The previous prime is 10108693759. The next prime is 10108693789. The reversal of 10108693764 is 46739680101.

It is a happy number.

The square root of 10108693764 is 100542.

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

It can be written as a sum of positive squares in 4 ways, for example, as 30140100 + 10078553664 = 5490^2 + 100392^2 .

It is a super-2 number, since 2×10108693764² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7841632 + ... + 7842920.

Almost surely, 2^10108693764 is an apocalyptic number.

10108693764 is the 100542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10108693764

10108693764 is an abundant number, since it is smaller than the sum of its proper divisors (17582097819).

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

10108693764 is a wasteful number, since it uses less digits than its factorization.

10108693764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10108693764 in words is "ten billion, one hundred eight million, six hundred ninety-three thousand, seven hundred sixty-four".