107196286276640 has 192 divisors, whose sum is σ = 281624049745920. Its totient is φ = 38232155520000.

The previous prime is 107196286276613. The next prime is 107196286276757. The reversal of 107196286276640 is 46672682691701.

It is a super-2 number, since 2×107196286276640² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18442145 + ... + 23547935.

It is an arithmetic number, because the mean of its divisors is an integer number (1466791925760).

Almost surely, 2^{107196286276640} is an apocalyptic number.

107196286276640 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 107196286276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140812024872960).

107196286276640 is an abundant number, since it is smaller than the sum of its proper divisors (174427763469280).

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

107196286276640 is a wasteful number, since it uses less digits than its factorization.

107196286276640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106047 (or 5106039 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 65.

The spelling of 107196286276640 in words is "one hundred seven trillion, one hundred ninety-six billion, two hundred eighty-six million, two hundred seventy-six thousand, six hundred forty".