100464001 has 24 divisors (see below), whose sum is σ = 117784800. Its totient is φ = 85377600.

The previous prime is 100463989. The next prime is 100464029.

It is a happy number.

100464001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100464001 - 2⁵ = 100463969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100464401) 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, 204366 + ... + 204856.

It is an arithmetic number, because the mean of its divisors is an integer number (4907700).

Almost surely, 2^100464001 is an apocalyptic number.

100464001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100464001 is a deficient number, since it is larger than the sum of its proper divisors (17320799).

100464001 is a wasteful number, since it uses less digits than its factorization.

100464001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 100464001 is about 10023.1732001398. The cubic root of 100464001 is about 464.8756764795.

The spelling of 100464001 in words is "one hundred million, four hundred sixty-four thousand, one".