10106683024 has 45 divisors (see below), whose sum is σ = 20103745179. Its totient is φ = 4922046720.

The previous prime is 10106683001. The next prime is 10106683031. The reversal of 10106683024 is 42038660101.

It is a happy number.

The square root of 10106683024 is 100532.

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 9343155600 + 763527424 = 96660^2 + 27632^2 .

It is a Duffinian number.

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, 16486942 + ... + 16487554.

Almost surely, 2^10106683024 is an apocalyptic number.

10106683024 is the 100532-nd square number.

It is an amenable number.

10106683024 is a deficient number, since it is larger than the sum of its proper divisors (9997062155).

10106683024 is an frugal number, since it uses more digits than its factorization.

10106683024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 10106683024 in words is "ten billion, one hundred six million, six hundred eighty-three thousand, twenty-four".