107189776320 has 1008 divisors, whose sum is σ = 414179211264. Its totient is φ = 23438131200.

The previous prime is 107189776319. The next prime is 107189776321. The reversal of 107189776320 is 23677981701.

It is an interprime number because it is at equal distance from previous prime (107189776319) and next prime (107189776321).

It is a super-2 number, since 2×107189776320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107189776321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1040677389 + ... + 1040677491.

Almost surely, 2^107189776320 is an apocalyptic number.

107189776320 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 107189776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207089605632).

107189776320 is an abundant number, since it is smaller than the sum of its proper divisors (306989434944).

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

107189776320 is a wasteful number, since it uses less digits than its factorization.

107189776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The spelling of 107189776320 in words is "one hundred seven billion, one hundred eighty-nine million, seven hundred seventy-six thousand, three hundred twenty".