10870100 has 36 divisors (see below), whose sum is σ = 23935968. Its totient is φ = 4284000.

The previous prime is 10870091. The next prime is 10870129. The reversal of 10870100 is 107801.

10870100 = T₉₂₀ + T₉₂₁ + ... + T₉₄₄.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6335 + ... + 7865.

It is an arithmetic number, because the mean of its divisors is an integer number (664888).

Almost surely, 2^10870100 is an apocalyptic number.

10870100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10870100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11967984).

10870100 is an abundant number, since it is smaller than the sum of its proper divisors (13065868).

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

10870100 is a wasteful number, since it uses less digits than its factorization.

10870100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 10870100 is about 3296.9834697796. The cubic root of 10870100 is about 221.5191007856.

Adding to 10870100 its reverse (107801), we get a palindrome (10977901).

The spelling of 10870100 in words is "ten million, eight hundred seventy thousand, one hundred".