100307376 has 160 divisors (see below), whose sum is σ = 316854720. Its totient is φ = 30191616.

The previous prime is 100307371. The next prime is 100307377. The reversal of 100307376 is 673703001.

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

It is not an unprimeable number, because it can be changed into a prime (100307371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297480 + ... + 297816.

It is an arithmetic number, because the mean of its divisors is an integer number (1980342).

Almost surely, 2^100307376 is an apocalyptic number.

100307376 is a gapful number since it is divisible by the number (16) 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 100307376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158427360).

100307376 is an abundant number, since it is smaller than the sum of its proper divisors (216547344).

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

100307376 is a wasteful number, since it uses less digits than its factorization.

100307376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 100307376 is about 10015.3570081151. The cubic root of 100307376 is about 464.6339679310.

The spelling of 100307376 in words is "one hundred million, three hundred seven thousand, three hundred seventy-six".