107377640 has 64 divisors (see below), whose sum is σ = 248054400. Its totient is φ = 41819392.

The previous prime is 107377561. The next prime is 107377649. The reversal of 107377640 is 46773701.

It is a self number, because there is not a number n which added to its sum of digits gives 107377640.

It is not an unprimeable number, because it can be changed into a prime (107377649) 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, 408149 + ... + 408411.

It is an arithmetic number, because the mean of its divisors is an integer number (3875850).

Almost surely, 2^107377640 is an apocalyptic number.

107377640 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 107377640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124027200).

107377640 is an abundant number, since it is smaller than the sum of its proper divisors (140676760).

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

107377640 is a wasteful number, since it uses less digits than its factorization.

107377640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The square root of 107377640 is about 10362.3182734367. The cubic root of 107377640 is about 475.3037982698.

The spelling of 107377640 in words is "one hundred seven million, three hundred seventy-seven thousand, six hundred forty".