107188945920 has 440 divisors, whose sum is σ = 438988549824. Its totient is φ = 24499666944.

The previous prime is 107188945907. The next prime is 107188945939. The reversal of 107188945920 is 29549881701.

It is a happy number.

107188945920 is a `hidden beast` number, since 1 + 0 + 7 + 188 + 9 + 459 + 2 + 0 = 666.

It is a super-2 number, since 2×107188945920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2884579 + ... + 2921501.

Almost surely, 2^107188945920 is an apocalyptic number.

107188945920 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 107188945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219494274912).

107188945920 is an abundant number, since it is smaller than the sum of its proper divisors (331799603904).

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

107188945920 is an equidigital number, since it uses as much as digits as its factorization.

107188945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36967 (or 36940 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 107188945920 in words is "one hundred seven billion, one hundred eighty-eight million, nine hundred forty-five thousand, nine hundred twenty".