107081126680 has 128 divisors (see below), whose sum is σ = 280642475520. Its totient is φ = 36379284480.

The previous prime is 107081126671. The next prime is 107081126729. The reversal of 107081126680 is 86621180701.

It is a super-2 number, since 2×107081126680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 312124 + ... + 558196.

It is an arithmetic number, because the mean of its divisors is an integer number (2192519340).

Almost surely, 2^107081126680 is an apocalyptic number.

107081126680 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 107081126680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140321237760).

107081126680 is an abundant number, since it is smaller than the sum of its proper divisors (173561348840).

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

107081126680 is a wasteful number, since it uses less digits than its factorization.

107081126680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246161 (or 246157 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 107081126680 in words is "one hundred seven billion, eighty-one million, one hundred twenty-six thousand, six hundred eighty".