100614864 has 80 divisors (see below), whose sum is σ = 301984640. Its totient is φ = 28270080.

The previous prime is 100614859. The next prime is 100614869. The reversal of 100614864 is 468416001.

It is an interprime number because it is at equal distance from previous prime (100614859) and next prime (100614869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100614869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18042 + ... + 22950.

It is an arithmetic number, because the mean of its divisors is an integer number (3774808).

Almost surely, 2^100614864 is an apocalyptic number.

100614864 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 100614864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150992320).

100614864 is an abundant number, since it is smaller than the sum of its proper divisors (201369776).

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

100614864 is a wasteful number, since it uses less digits than its factorization.

100614864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 100614864 is about 10030.6960875106. The cubic root of 100614864 is about 465.1082555214.

The spelling of 100614864 in words is "one hundred million, six hundred fourteen thousand, eight hundred sixty-four".