10239416100 has 81 divisors (see below), whose sum is σ = 32104398963. Its totient is φ = 2729701440.

The previous prime is 10239416071. The next prime is 10239416101. The reversal of 10239416100 is 161493201.

The square root of 10239416100 is 101190.

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

10239416100 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 9 + 41 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2707953444 + 7531462656 = 52038^2 + 86784^2 .

It is not an unprimeable number, because it can be changed into a prime (10239416101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3034014 + ... + 3037386.

Almost surely, 2^10239416100 is an apocalyptic number.

10239416100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10239416100 is the 101190-th square number.

It is an amenable number.

10239416100 is an abundant number, since it is smaller than the sum of its proper divisors (21864982863).

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

10239416100 is an equidigital number, since it uses as much as digits as its factorization.

10239416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Multiplying 10239416100 by its product of nonzero digits (1296), we get a square (13270283265600 = 3642840²).

The spelling of 10239416100 in words is "ten billion, two hundred thirty-nine million, four hundred sixteen thousand, one hundred".