107058066000 has 160 divisors (see below), whose sum is σ = 356289862656. Its totient is φ = 27627840000.

The previous prime is 107058065929. The next prime is 107058066023. The reversal of 107058066000 is 660850701.

It is a super-2 number, since 2×107058066000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 101791 + ... + 473790.

Almost surely, 2^107058066000 is an apocalyptic number.

107058066000 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 107058066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178144931328).

107058066000 is an abundant number, since it is smaller than the sum of its proper divisors (249231796656).

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

107058066000 is a wasteful number, since it uses less digits than its factorization.

107058066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575638 (or 575622 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 107058066000 in words is "one hundred seven billion, fifty-eight million, sixty-six thousand".