107109009000 has 192 divisors, whose sum is σ = 413747043840. Its totient is φ = 24482044800.

The previous prime is 107109008989. The next prime is 107109009011. The reversal of 107109009000 is 900901701.

It is an interprime number because it is at equal distance from previous prime (107109008989) and next prime (107109009011).

It is a super-2 number, since 2×107109009000² (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 47 ways as a sum of consecutive naturals, for example, 787072 + ... + 913071.

It is an arithmetic number, because the mean of its divisors is an integer number (2154932520).

Almost surely, 2^107109009000 is an apocalyptic number.

107109009000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107109009000 is an abundant number, since it is smaller than the sum of its proper divisors (306638034840).

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

107109009000 is a wasteful number, since it uses less digits than its factorization.

107109009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700177 (or 1700160 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The spelling of 107109009000 in words is "one hundred seven billion, one hundred nine million, nine thousand".