107204912640 has 720 divisors, whose sum is σ = 448021606032. Its totient is φ = 24497012736.

The previous prime is 107204912609. The next prime is 107204912663. The reversal of 107204912640 is 46219402701.

It is a happy number.

107204912640 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 0 + 4 + 9 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×107204912640² (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 = 107204912595 and 107204912604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30480162 + ... + 30483678.

Almost surely, 2^107204912640 is an apocalyptic number.

107204912640 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 107204912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224010803016).

107204912640 is an abundant number, since it is smaller than the sum of its proper divisors (340816693392).

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

107204912640 is an frugal number, since it uses more digits than its factorization.

107204912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 107204912640 in words is "one hundred seven billion, two hundred four million, nine hundred twelve thousand, six hundred forty".