100467864 has 224 divisors, whose sum is σ = 339966720. Its totient is φ = 27200448.

The previous prime is 100467859. The next prime is 100467889. The reversal of 100467864 is 468764001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 938899 + ... + 939005.

Almost surely, 2^100467864 is an apocalyptic number.

100467864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100467864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169983360).

100467864 is an abundant number, since it is smaller than the sum of its proper divisors (239498856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100467864 is a wasteful number, since it uses less digits than its factorization.

100467864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 100467864 is about 10023.3659017318. The cubic root of 100467864 is about 464.8816348052.

The spelling of 100467864 in words is "one hundred million, four hundred sixty-seven thousand, eight hundred sixty-four".