107549640 has 192 divisors, whose sum is σ = 394531200. Its totient is φ = 26040960.

The previous prime is 107549627. The next prime is 107549641. The reversal of 107549640 is 46945701.

107549640 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 4 + 9 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107549595 and 107549604.

It is not an unprimeable number, because it can be changed into a prime (107549641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130269 + ... + 131091.

It is an arithmetic number, because the mean of its divisors is an integer number (2054850).

Almost surely, 2^107549640 is an apocalyptic number.

107549640 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 107549640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197265600).

107549640 is an abundant number, since it is smaller than the sum of its proper divisors (286981560).

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

107549640 is a wasteful number, since it uses less digits than its factorization.

107549640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 107549640 is about 10370.6142537460. The cubic root of 107549640 is about 475.5574471090.

The spelling of 107549640 in words is "one hundred seven million, five hundred forty-nine thousand, six hundred forty".