100307064 has 96 divisors (see below), whose sum is σ = 296951760. Its totient is φ = 28047360.

The previous prime is 100307059. The next prime is 100307069. The reversal of 100307064 is 460703001.

It is an interprime number because it is at equal distance from previous prime (100307059) and next prime (100307069).

It is a self number, because there is not a number n which added to its sum of digits gives 100307064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100307069) 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, 36424 + ... + 39080.

Almost surely, 2^100307064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100307064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148475880).

100307064 is an abundant number, since it is smaller than the sum of its proper divisors (196644696).

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

100307064 is a wasteful number, since it uses less digits than its factorization.

100307064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 100307064 is about 10015.3414320232. The cubic root of 100307064 is about 464.6334861920.

The spelling of 100307064 in words is "one hundred million, three hundred seven thousand, sixty-four".