10987240900 has 36 divisors (see below), whose sum is σ = 23859261972. Its totient is φ = 4391772160.

The previous prime is 10987240897. The next prime is 10987240907. The reversal of 10987240900 is 904278901.

It can be written as a sum of positive squares in 6 ways, for example, as 619113924 + 10368126976 = 24882^2 + 101824^2 .

It is not an unprimeable number, because it can be changed into a prime (10987240907) 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, 104964 + ... + 181636.

It is an arithmetic number, because the mean of its divisors is an integer number (662757277).

Almost surely, 2^10987240900 is an apocalyptic number.

10987240900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10987240900 is an abundant number, since it is smaller than the sum of its proper divisors (12872021072).

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

10987240900 is a wasteful number, since it uses less digits than its factorization.

10987240900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78120 (or 78113 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 10987240900 in words is "ten billion, nine hundred eighty-seven million, two hundred forty thousand, nine hundred".