107939920 has 80 divisors (see below), whose sum is σ = 285731712. Its totient is φ = 37537280.

The previous prime is 107939911. The next prime is 107939929. The reversal of 107939920 is 29939701.

It is an interprime number because it is at equal distance from previous prime (107939911) and next prime (107939929).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107939929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17574 + ... + 22906.

Almost surely, 2^107939920 is an apocalyptic number.

107939920 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 107939920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142865856).

107939920 is an abundant number, since it is smaller than the sum of its proper divisors (177791792).

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

107939920 is a wasteful number, since it uses less digits than its factorization.

107939920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 40.

The square root of 107939920 is about 10389.4138429461. The cubic root of 107939920 is about 476.1319926779.

The spelling of 107939920 in words is "one hundred seven million, nine hundred thirty-nine thousand, nine hundred twenty".