107964094000 has 160 divisors (see below), whose sum is σ = 300332777472. Its totient is φ = 36770400000.

The previous prime is 107964093983. The next prime is 107964094013. The reversal of 107964094000 is 490469701.

It is a happy number.

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

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, 2088465 + ... + 2139535.

Almost surely, 2^107964094000 is an apocalyptic number.

107964094000 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 107964094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150166388736).

107964094000 is an abundant number, since it is smaller than the sum of its proper divisors (192368683472).

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

107964094000 is a wasteful number, since it uses less digits than its factorization.

107964094000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51252 (or 51236 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 107964094000 in words is "one hundred seven billion, nine hundred sixty-four million, ninety-four thousand".