107140100381000 has 64 divisors (see below), whose sum is σ = 251783834730480. Its totient is φ = 42672108556800.

The previous prime is 107140100380991. The next prime is 107140100381021. The reversal of 107140100381000 is 183001041701.

It can be written as a sum of positive squares in 8 ways, for example, as 74766152356 + 107065334228644 = 273434^2 + 10347238^2 .

It is a super-2 number, since 2×107140100381000² (a number of 29 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, 229681379 + ... + 230147378.

Almost surely, 2^{107140100381000} is an apocalyptic number.

107140100381000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107140100381000 is an abundant number, since it is smaller than the sum of its proper divisors (144643734349480).

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

107140100381000 is a wasteful number, since it uses less digits than its factorization.

107140100381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459829011 (or 459828997 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The spelling of 107140100381000 in words is "one hundred seven trillion, one hundred forty billion, one hundred million, three hundred eighty-one thousand".