106656264 has 160 divisors (see below), whose sum is σ = 351267840. Its totient is φ = 29808000.

The previous prime is 106656259. The next prime is 106656289. The reversal of 106656264 is 462656601.

It is a happy number.

It is a super-2 number, since 2×106656264² = 22751117300875392, which contains 22 as substring.

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

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, 92089 + ... + 93239.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^106656264 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 106656264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

106656264 is an abundant number, since it is smaller than the sum of its proper divisors (244611576).

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

106656264 is a wasteful number, since it uses less digits than its factorization.

106656264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 106656264 is about 10327.4519606726. The cubic root of 106656264 is about 474.2370229410.

The spelling of 106656264 in words is "one hundred six million, six hundred fifty-six thousand, two hundred sixty-four".