107076152000 has 112 divisors (see below), whose sum is σ = 270817043328. Its totient is φ = 41919027200.

The previous prime is 107076151997. The next prime is 107076152011. The reversal of 107076152000 is 251670701.

It is a super-2 number, since 2×107076152000² (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 15 ways as a sum of consecutive naturals, for example, 233612 + ... + 518388.

Almost surely, 2^107076152000 is an apocalyptic number.

107076152000 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 107076152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408521664).

107076152000 is an abundant number, since it is smaller than the sum of its proper divisors (163740891328).

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

107076152000 is an equidigital number, since it uses as much as digits as its factorization.

107076152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284851 (or 284831 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

The spelling of 107076152000 in words is "one hundred seven billion, seventy-six million, one hundred fifty-two thousand".