87249310100 has 72 divisors (see below), whose sum is σ = 200027197440. Its totient is φ = 32979291520.

The previous prime is 87249310097. The next prime is 87249310111. The reversal of 87249310100 is 101394278.

It is a super-2 number, since 2×87249310100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183764 + ... + 456363.

It is an arithmetic number, because the mean of its divisors is an integer number (2778155520).

Almost surely, 2^87249310100 is an apocalyptic number.

It is an amenable number.

87249310100 is an abundant number, since it is smaller than the sum of its proper divisors (112777887340).

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

87249310100 is a wasteful number, since it uses less digits than its factorization.

87249310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640217 (or 640210 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 87249310100 in words is "eighty-seven billion, two hundred forty-nine million, three hundred ten thousand, one hundred".