107981297873900 has 144 divisors (see below), whose sum is σ = 257294720833920. Its totient is φ = 39009632640000.

The previous prime is 107981297873863. The next prime is 107981297873923. The reversal of 107981297873900 is 9378792189701.

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, 110590835 + ... + 111562965.

It is an arithmetic number, because the mean of its divisors is an integer number (1786768894680).

Almost surely, 2^{107981297873900} is an apocalyptic number.

107981297873900 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 107981297873900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128647360416960).

107981297873900 is an abundant number, since it is smaller than the sum of its proper divisors (149313422960020).

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

107981297873900 is a wasteful number, since it uses less digits than its factorization.

107981297873900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972816 (or 972809 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 71.

The spelling of 107981297873900 in words is "one hundred seven trillion, nine hundred eighty-one billion, two hundred ninety-seven million, eight hundred seventy-three thousand, nine hundred".