95868100 has 36 divisors (see below), whose sum is σ = 220274964. Its totient is φ = 36090880.

The previous prime is 95868077. The next prime is 95868131. The reversal of 95868100 is 186859.

It can be written as a sum of positive squares in 6 ways, for example, as 454276 + 95413824 = 674^2 + 9768^2 .

It is a super-2 number, since 2×95868100² = 18381385195220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 95868100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26497 + ... + 29896.

It is an arithmetic number, because the mean of its divisors is an integer number (6118749).

Almost surely, 2^95868100 is an apocalyptic number.

It is an amenable number.

95868100 is an abundant number, since it is smaller than the sum of its proper divisors (124406864).

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

95868100 is a wasteful number, since it uses less digits than its factorization.

95868100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56424 (or 56417 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 95868100 is about 9791.2256638278. The cubic root of 95868100 is about 457.6758956161.

The spelling of 95868100 in words is "ninety-five million, eight hundred sixty-eight thousand, one hundred".