102964401 has 24 divisors (see below), whose sum is σ = 159136640. Its totient is φ = 63957600.

The previous prime is 102964397. The next prime is 102964409. The reversal of 102964401 is 104469201.

102964401 is a `hidden beast` number, since 10 + 2 + 9 + 644 + 0 + 1 = 666.

It is not a de Polignac number, because 102964401 - 2² = 102964397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102964409) 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, 5496 + ... + 15366.

Almost surely, 2^102964401 is an apocalyptic number.

It is an amenable number.

102964401 is a deficient number, since it is larger than the sum of its proper divisors (56172239).

102964401 is a wasteful number, since it uses less digits than its factorization.

102964401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9957 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102964401 is about 10147.1375766765. The cubic root of 102964401 is about 468.7008046505.

The spelling of 102964401 in words is "one hundred two million, nine hundred sixty-four thousand, four hundred one".