87242100 has 72 divisors (see below), whose sum is σ = 275378208. Its totient is φ = 21148800.

The previous prime is 87242093. The next prime is 87242101. The reversal of 87242100 is 124278.

It is a super-2 number, since 2×87242100² = 15222368024820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87242101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9919 + ... + 16518.

Almost surely, 2^87242100 is an apocalyptic number.

It is an amenable number.

87242100 is an abundant number, since it is smaller than the sum of its proper divisors (188136108).

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

87242100 is a wasteful number, since it uses less digits than its factorization.

87242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26465 (or 26458 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 87242100 is about 9340.3479592572. The cubic root of 87242100 is about 443.5153993688.

Adding to 87242100 its reverse (124278), we get a palindrome (87366378).

The spelling of 87242100 in words is "eighty-seven million, two hundred forty-two thousand, one hundred".