107159617040 has 240 divisors, whose sum is σ = 302289652224. Its totient is φ = 35184844800.

The previous prime is 107159617001. The next prime is 107159617063. The reversal of 107159617040 is 40716951701.

It is a super-2 number, since 2×107159617040² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11782895 + ... + 11791985.

Almost surely, 2^107159617040 is an apocalyptic number.

107159617040 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 107159617040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151144826112).

107159617040 is an abundant number, since it is smaller than the sum of its proper divisors (195130035184).

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

107159617040 is a wasteful number, since it uses less digits than its factorization.

107159617040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9246 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 41.

The spelling of 107159617040 in words is "one hundred seven billion, one hundred fifty-nine million, six hundred seventeen thousand, forty".