107652640140 has 168 divisors, whose sum is σ = 339316953360. Its totient is φ = 28676363904.

The previous prime is 107652640129. The next prime is 107652640157. The reversal of 107652640140 is 41046256701.

107652640140 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 5 + 2 + 640 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×107652640140² (a number of 23 digits) contains 22 as substring.

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 = 107652640095 and 107652640104.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15582567 + ... + 15589473.

It is an arithmetic number, because the mean of its divisors is an integer number (2019743770).

Almost surely, 2^107652640140 is an apocalyptic number.

107652640140 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 107652640140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169658476680).

107652640140 is an abundant number, since it is smaller than the sum of its proper divisors (231664313220).

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

107652640140 is a wasteful number, since it uses less digits than its factorization.

107652640140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8003 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 107652640140 its reverse (41046256701), we get a palindrome (148698896841).

The spelling of 107652640140 in words is "one hundred seven billion, six hundred fifty-two million, six hundred forty thousand, one hundred forty".