108100586880 has 1536 divisors, whose sum is σ = 469036310400. Its totient is φ = 23357030400.

The previous prime is 108100586863. The next prime is 108100586897. The reversal of 108100586880 is 88685001801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108100586863) and next prime (108100586897).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1114438992 + ... + 1114439088.

Almost surely, 2^108100586880 is an apocalyptic number.

108100586880 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 108100586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234518155200).

108100586880 is an abundant number, since it is smaller than the sum of its proper divisors (360935723520).

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

108100586880 is a wasteful number, since it uses less digits than its factorization.

108100586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 108100586880 in words is "one hundred eight billion, one hundred million, five hundred eighty-six thousand, eight hundred eighty".