107397984 has 48 divisors (see below), whose sum is σ = 282502080. Its totient is φ = 35725440.

The previous prime is 107397977. The next prime is 107397989. The reversal of 107397984 is 489793701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107397989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65527 + ... + 67145.

It is an arithmetic number, because the mean of its divisors is an integer number (5885460).

Almost surely, 2^107397984 is an apocalyptic number.

It is an amenable number.

107397984 is an abundant number, since it is smaller than the sum of its proper divisors (175104096).

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

107397984 is a wasteful number, since it uses less digits than its factorization.

107397984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 107397984 is about 10363.2998605656. The cubic root of 107397984 is about 475.3338137363. Note that the first 3 decimals are identical.

The spelling of 107397984 in words is "one hundred seven million, three hundred ninety-seven thousand, nine hundred eighty-four".