108100638720 has 192 divisors, whose sum is σ = 384264972000. Its totient is φ = 28826763264.

The previous prime is 108100638707. The next prime is 108100638721. The reversal of 108100638720 is 27836001801.

108100638720 is a `hidden beast` number, since 1 + 0 + 8 + 10 + 0 + 638 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108100638721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80986 + ... + 471974.

Almost surely, 2^108100638720 is an apocalyptic number.

108100638720 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 108100638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192132486000).

108100638720 is an abundant number, since it is smaller than the sum of its proper divisors (276164333280).

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

108100638720 is an equidigital number, since it uses as much as digits as its factorization.

108100638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391025 (or 390999 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 108100638720 in words is "one hundred eight billion, one hundred million, six hundred thirty-eight thousand, seven hundred twenty".