107150160000 has 640 divisors, whose sum is σ = 389986914240. Its totient is φ = 25896960000.

The previous prime is 107150159983. The next prime is 107150160011. The reversal of 107150160000 is 61051701.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×107150160000² (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 79 ways as a sum of consecutive naturals, for example, 190319719 + ... + 190320281.

Almost surely, 2^107150160000 is an apocalyptic number.

107150160000 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 107150160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194993457120).

107150160000 is an abundant number, since it is smaller than the sum of its proper divisors (282836754240).

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

107150160000 is an equidigital number, since it uses as much as digits as its factorization.

107150160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The spelling of 107150160000 in words is "one hundred seven billion, one hundred fifty million, one hundred sixty thousand".