10674048100 has 36 divisors (see below), whose sum is σ = 23296610484. Its totient is φ = 4244932480.

The previous prime is 10674048097. The next prime is 10674048103. The reversal of 10674048100 is 184047601.

It is an interprime number because it is at equal distance from previous prime (10674048097) and next prime (10674048103).

It can be written as a sum of positive squares in 6 ways, for example, as 166978084 + 10507070016 = 12922^2 + 102504^2 .

It is a super-2 number, since 2×10674048100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10674048103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291199 + ... + 325798.

It is an arithmetic number, because the mean of its divisors is an integer number (647128069).

Almost surely, 2^10674048100 is an apocalyptic number.

10674048100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10674048100 is an abundant number, since it is smaller than the sum of its proper divisors (12622562384).

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

10674048100 is a wasteful number, since it uses less digits than its factorization.

10674048100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617184 (or 617177 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 10674048100 in words is "ten billion, six hundred seventy-four million, forty-eight thousand, one hundred".