10887640100 has 18 divisors (see below), whose sum is σ = 23626179234. Its totient is φ = 4355056000.

The previous prime is 10887640081. The next prime is 10887640109. The reversal of 10887640100 is 104678801.

It can be written as a sum of positive squares in 3 ways, for example, as 142659136 + 10744980964 = 11944^2 + 103658^2 .

It is not an unprimeable number, because it can be changed into a prime (10887640109) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 54438101 + ... + 54438300.

It is an arithmetic number, because the mean of its divisors is an integer number (1312565513).

Almost surely, 2^10887640100 is an apocalyptic number.

10887640100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10887640100 is an abundant number, since it is smaller than the sum of its proper divisors (12738539134).

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

10887640100 is a wasteful number, since it uses less digits than its factorization.

10887640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108876415 (or 108876408 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 10887640100 in words is "ten billion, eight hundred eighty-seven million, six hundred forty thousand, one hundred".