106613612 has 36 divisors (see below), whose sum is σ = 222345144. Its totient is φ = 44573760.

The previous prime is 106613597. The next prime is 106613627. The reversal of 106613612 is 216316601.

It is an interprime number because it is at equal distance from previous prime (106613597) and next prime (106613627).

It is a super-2 number, since 2×106613612² = 22732924527373088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1403 + ... + 14669.

It is an arithmetic number, because the mean of its divisors is an integer number (6176254).

Almost surely, 2^106613612 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 106613612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111172572).

106613612 is an abundant number, since it is smaller than the sum of its proper divisors (115731532).

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

106613612 is a wasteful number, since it uses less digits than its factorization.

106613612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13326 (or 13317 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106613612 is about 10325.3867724168. The cubic root of 106613612 is about 474.1737984801.

The spelling of 106613612 in words is "one hundred six million, six hundred thirteen thousand, six hundred twelve".