107859640 has 64 divisors (see below), whose sum is σ = 278251200. Its totient is φ = 36860928.

The previous prime is 107859607. The next prime is 107859641. The reversal of 107859640 is 46958701.

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

It is a junction number, because it is equal to n+sod(n) for n = 107859593 and 107859602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107859641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158982 + ... + 159658.

It is an arithmetic number, because the mean of its divisors is an integer number (4347675).

Almost surely, 2^107859640 is an apocalyptic number.

107859640 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 107859640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139125600).

107859640 is an abundant number, since it is smaller than the sum of its proper divisors (170391560).

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

107859640 is a wasteful number, since it uses less digits than its factorization.

107859640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 107859640 is about 10385.5495762141. The cubic root of 107859640 is about 476.0139228091.

The spelling of 107859640 in words is "one hundred seven million, eight hundred fifty-nine thousand, six hundred forty".