100386720 has 288 divisors, whose sum is σ = 409473792. Its totient is φ = 21897216.

The previous prime is 100386707. The next prime is 100386733. The reversal of 100386720 is 27683001.

It is an interprime number because it is at equal distance from previous prime (100386707) and next prime (100386733).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231624 + ... + 232056.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^100386720 is an apocalyptic number.

100386720 is a gapful number since it is divisible by the number (10) 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 100386720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

100386720 is an abundant number, since it is smaller than the sum of its proper divisors (309087072).

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

100386720 is a wasteful number, since it uses less digits than its factorization.

100386720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 100386720 is about 10019.3173420149. The cubic root of 100386720 is about 464.7564454692.

The spelling of 100386720 in words is "one hundred million, three hundred eighty-six thousand, seven hundred twenty".