107367217920 has 216 divisors, whose sum is σ = 373110738000. Its totient is φ = 28505530368.

The previous prime is 107367217913. The next prime is 107367217939. The reversal of 107367217920 is 29712763701.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2617731 + ... + 2658429.

Almost surely, 2^107367217920 is an apocalyptic number.

107367217920 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 107367217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186555369000).

107367217920 is an abundant number, since it is smaller than the sum of its proper divisors (265743520080).

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

107367217920 is a wasteful number, since it uses less digits than its factorization.

107367217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40955 (or 40938 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 107367217920 in words is "one hundred seven billion, three hundred sixty-seven million, two hundred seventeen thousand, nine hundred twenty".