10108100 has 18 divisors (see below), whose sum is σ = 21934794. Its totient is φ = 4043200.

The previous prime is 10108097. The next prime is 10108103. The reversal of 10108100 is 180101.

It is an interprime number because it is at equal distance from previous prime (10108097) and next prime (10108103).

It can be written as a sum of positive squares in 3 ways, for example, as 2611456 + 7496644 = 1616^2 + 2738^2 .

It is a super-2 number, since 2×10108100² = 204347371220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10108103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50441 + ... + 50640.

Almost surely, 2^10108100 is an apocalyptic number.

10108100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10108100 is an abundant number, since it is smaller than the sum of its proper divisors (11826694).

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

10108100 is a wasteful number, since it uses less digits than its factorization.

10108100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101095 (or 101088 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 10108100 is about 3179.3238274828. The cubic root of 10108100 is about 216.2170029954.

Adding to 10108100 its reverse (180101), we get a palindrome (10288201).

The spelling of 10108100 in words is "ten million, one hundred eight thousand, one hundred".