106611888 has 120 divisors (see below), whose sum is σ = 302411200. Its totient is φ = 32272128.

The previous prime is 106611851. The next prime is 106611971. The reversal of 106611888 is 888116601.

It is a super-2 number, since 2×106611888² = 22732189325849088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 766923 + ... + 767061.

Almost surely, 2^106611888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106611888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151205600).

106611888 is an abundant number, since it is smaller than the sum of its proper divisors (195799312).

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

106611888 is a wasteful number, since it uses less digits than its factorization.

106611888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 106611888 is about 10325.3032885238. The cubic root of 106611888 is about 474.1712425837.

The spelling of 106611888 in words is "one hundred six million, six hundred eleven thousand, eight hundred eighty-eight".