107691640 has 64 divisors (see below), whose sum is σ = 279014400. Its totient is φ = 36643968.

The previous prime is 107691629. The next prime is 107691641. The reversal of 107691640 is 46196701.

It is a junction number, because it is equal to n+sod(n) for n = 107691596 and 107691605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107691641) 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, 37537 + ... + 40303.

It is an arithmetic number, because the mean of its divisors is an integer number (4359600).

Almost surely, 2^107691640 is an apocalyptic number.

107691640 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 107691640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139507200).

107691640 is an abundant number, since it is smaller than the sum of its proper divisors (171322760).

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

107691640 is a wasteful number, since it uses less digits than its factorization.

107691640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 107691640 is about 10377.4582629852. The cubic root of 107691640 is about 475.7666511541.

The spelling of 107691640 in words is "one hundred seven million, six hundred ninety-one thousand, six hundred forty".