100464057 has 20 divisors (see below), whose sum is σ = 151172560. Its totient is φ = 66486744.

The previous prime is 100464053. The next prime is 100464059. The reversal of 100464057 is 750464001.

100464057 is a `hidden beast` number, since 10 + 0 + 4 + 640 + 5 + 7 = 666.

It is not a de Polignac number, because 100464057 - 2² = 100464053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100464057.

It is not an unprimeable number, because it can be changed into a prime (100464053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6798 + ... + 15720.

It is an arithmetic number, because the mean of its divisors is an integer number (7558628).

Almost surely, 2^100464057 is an apocalyptic number.

It is an amenable number.

100464057 is a deficient number, since it is larger than the sum of its proper divisors (50708503).

100464057 is an equidigital number, since it uses as much as digits as its factorization.

100464057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9074 (or 9065 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 100464057 is about 10023.1759936659. The cubic root of 100464057 is about 464.8757628555.

The spelling of 100464057 in words is "one hundred million, four hundred sixty-four thousand, fifty-seven".