106725888 has 240 divisors, whose sum is σ = 344710080. Its totient is φ = 31629312.

The previous prime is 106725833. The next prime is 106725893. The reversal of 106725888 is 888527601.

106725888 is a `hidden beast` number, since 1 + 0 + 67 + 2 + 588 + 8 = 666.

It is a super-2 number, since 2×106725888² = 22780830338777088, which contains 22 as substring.

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, 2013670 + ... + 2013722.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^106725888 is an apocalyptic number.

106725888 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 106725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172355040).

106725888 is an abundant number, since it is smaller than the sum of its proper divisors (237984192).

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

106725888 is a wasteful number, since it uses less digits than its factorization.

106725888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 106725888 is about 10330.8222325234. The cubic root of 106725888 is about 474.3401926790.

The spelling of 106725888 in words is "one hundred six million, seven hundred twenty-five thousand, eight hundred eighty-eight".