10828041172100 has 36 divisors (see below), whose sum is σ = 23527888939044. Its totient is φ = 4325494884480.

The previous prime is 10828041172061. The next prime is 10828041172129. The reversal of 10828041172100 is 127114082801.

It can be written as a sum of positive squares in 6 ways, for example, as 167123980864 + 10660917191236 = 408808^2 + 3265106^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71443727 + ... + 71595126.

It is an arithmetic number, because the mean of its divisors is an integer number (653552470529).

Almost surely, 2^{10828041172100} is an apocalyptic number.

10828041172100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10828041172100 is an abundant number, since it is smaller than the sum of its proper divisors (12699847766944).

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

10828041172100 is a wasteful number, since it uses less digits than its factorization.

10828041172100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143039624 (or 143039617 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 35.

The spelling of 10828041172100 in words is "ten trillion, eight hundred twenty-eight billion, forty-one million, one hundred seventy-two thousand, one hundred".