107379580 has 96 divisors (see below), whose sum is σ = 287078400. Its totient is φ = 33445440.

The previous prime is 107379577. The next prime is 107379589. The reversal of 107379580 is 85973701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107379589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74749 + ... + 76171.

It is an arithmetic number, because the mean of its divisors is an integer number (2990400).

Almost surely, 2^107379580 is an apocalyptic number.

107379580 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 107379580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143539200).

107379580 is an abundant number, since it is smaller than the sum of its proper divisors (179698820).

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

107379580 is a wasteful number, since it uses less digits than its factorization.

107379580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 107379580 is about 10362.4118814106. The cubic root of 107379580 is about 475.3066607026.

The spelling of 107379580 in words is "one hundred seven million, three hundred seventy-nine thousand, five hundred eighty".