10587778900 has 18 divisors (see below), whose sum is σ = 22975480430. Its totient is φ = 4235111520.

The previous prime is 10587778897. The next prime is 10587778907. The reversal of 10587778900 is 987778501.

It can be written as a sum of positive squares in 3 ways, for example, as 2895085636 + 7692693264 = 53806^2 + 87708^2 .

It is a super-2 number, since 2×10587778900² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10587778907) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52938795 + ... + 52938994.

Almost surely, 2^10587778900 is an apocalyptic number.

10587778900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10587778900 is an abundant number, since it is smaller than the sum of its proper divisors (12387701530).

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

10587778900 is a wasteful number, since it uses less digits than its factorization.

10587778900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105877803 (or 105877796 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 52.

The spelling of 10587778900 in words is "ten billion, five hundred eighty-seven million, seven hundred seventy-eight thousand, nine hundred".