102464001 has 8 divisors (see below), whose sum is σ = 151798560. Its totient is φ = 68309316.

The previous prime is 102463997. The next prime is 102464023. The reversal of 102464001 is 100464201.

102464001 is a `hidden beast` number, since 1 + 0 + 24 + 640 + 0 + 1 = 666.

It is not a de Polignac number, because 102464001 - 2² = 102463997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102462001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1897455 + ... + 1897508.

It is an arithmetic number, because the mean of its divisors is an integer number (18974820).

Almost surely, 2^102464001 is an apocalyptic number.

It is an amenable number.

102464001 is a deficient number, since it is larger than the sum of its proper divisors (49334559).

102464001 is an equidigital number, since it uses as much as digits as its factorization.

102464001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794972 (or 3794966 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102464001 is about 10122.4503456426. The cubic root of 102464001 is about 467.9402865957.

It can be divided in two parts, 10246400 and 1, that added together give a square (10246401 = 3201²).

The spelling of 102464001 in words is "one hundred two million, four hundred sixty-four thousand, one".