107085888 has 280 divisors, whose sum is σ = 392411712. Its totient is φ = 28118016.

The previous prime is 107085877. The next prime is 107085929. The reversal of 107085888 is 888580701.

It is a happy number.

It is a super-2 number, since 2×107085888² = 22934774817497088, which contains 22 as substring.

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, 471631 + ... + 471857.

Almost surely, 2^107085888 is an apocalyptic number.

107085888 is a gapful number since it is divisible by the number (18) 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 107085888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196205856).

107085888 is an abundant number, since it is smaller than the sum of its proper divisors (285325824).

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

107085888 is a wasteful number, since it uses less digits than its factorization.

107085888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The square root of 107085888 is about 10348.2311531971. The cubic root of 107085888 is about 474.8729307378.

The spelling of 107085888 in words is "one hundred seven million, eighty-five thousand, eight hundred eighty-eight".