107373864 has 128 divisors (see below), whose sum is σ = 310464000. Its totient is φ = 30668544.

The previous prime is 107373841. The next prime is 107373869. The reversal of 107373864 is 468373701.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (107373869) 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, 349599 + ... + 349905.

It is an arithmetic number, because the mean of its divisors is an integer number (2425500).

Almost surely, 2^107373864 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 107373864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232000).

107373864 is an abundant number, since it is smaller than the sum of its proper divisors (203090136).

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

107373864 is a wasteful number, since it uses less digits than its factorization.

107373864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 107373864 is about 10362.1360732235. The cubic root of 107373864 is about 475.2982267555.

The spelling of 107373864 in words is "one hundred seven million, three hundred seventy-three thousand, eight hundred sixty-four".