107053674000 has 640 divisors, whose sum is σ = 439501870080. Its totient is φ = 21805056000.

The previous prime is 107053673989. The next prime is 107053674071. The reversal of 107053674000 is 476350701.

It is a super-2 number, since 2×107053674000² (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 127 ways as a sum of consecutive naturals, for example, 15830620 + ... + 15837380.

It is an arithmetic number, because the mean of its divisors is an integer number (686721672).

Almost surely, 2^107053674000 is an apocalyptic number.

107053674000 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 107053674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219750935040).

107053674000 is an abundant number, since it is smaller than the sum of its proper divisors (332448196080).

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

107053674000 is a wasteful number, since it uses less digits than its factorization.

107053674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6836 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 107053674000 in words is "one hundred seven billion, fifty-three million, six hundred seventy-four thousand".