102872961 has 6 divisors (see below), whose sum is σ = 148594290. Its totient is φ = 68581968.

The previous prime is 102872953. The next prime is 102872963. The reversal of 102872961 is 169278201.

It can be written as a sum of positive squares in only one way, i.e., 102819600 + 53361 = 10140^2 + 231^2 .

It is not a de Polignac number, because 102872961 - 2³ = 102872953 is a prime.

It is a super-2 number, since 2×102872961² = 21165692209815042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102872963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5715156 + ... + 5715173.

It is an arithmetic number, because the mean of its divisors is an integer number (24765715).

Almost surely, 2^102872961 is an apocalyptic number.

It is an amenable number.

102872961 is a deficient number, since it is larger than the sum of its proper divisors (45721329).

102872961 is a wasteful number, since it uses less digits than its factorization.

102872961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11430335 (or 11430332 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 102872961 is about 10142.6308717216. The cubic root of 102872961 is about 468.5620165695.

The spelling of 102872961 in words is "one hundred two million, eight hundred seventy-two thousand, nine hundred sixty-one".