106610688 has 120 divisors (see below), whose sum is σ = 317184560. Its totient is φ = 35389440.

The previous prime is 106610677. The next prime is 106610741. The reversal of 106610688 is 886016601.

It is a super-2 number, since 2×106610688² = 22731677591666688, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442248 + ... + 442488.

Almost surely, 2^106610688 is an apocalyptic number.

106610688 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 106610688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158592280).

106610688 is an abundant number, since it is smaller than the sum of its proper divisors (210573872).

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

106610688 is an frugal number, since it uses more digits than its factorization.

106610688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 106610688 is about 10325.2451786870. The cubic root of 106610688 is about 474.1694635212.

The spelling of 106610688 in words is "one hundred six million, six hundred ten thousand, six hundred eighty-eight".