87290100 has 54 divisors (see below), whose sum is σ = 273608790. Its totient is φ = 23277120.

The previous prime is 87290089. The next prime is 87290111. The reversal of 87290100 is 109278.

It is an interprime number because it is at equal distance from previous prime (87290089) and next prime (87290111).

It can be written as a sum of positive squares in 3 ways, for example, as 3896676 + 83393424 = 1974^2 + 9132^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47595 + ... + 49394.

Almost surely, 2^87290100 is an apocalyptic number.

It is an amenable number.

87290100 is an abundant number, since it is smaller than the sum of its proper divisors (186318690).

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

87290100 is a wasteful number, since it uses less digits than its factorization.

87290100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97009 (or 96999 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 87290100 is about 9342.9171033463. The cubic root of 87290100 is about 443.5967241575.

Adding to 87290100 its reverse (109278), we get a palindrome (87399378).

The spelling of 87290100 in words is "eighty-seven million, two hundred ninety thousand, one hundred".