106345656 has 64 divisors (see below), whose sum is σ = 298087200. Its totient is φ = 35126784.

The previous prime is 106345651. The next prime is 106345663. The reversal of 106345656 is 656543601.

106345656 is a `hidden beast` number, since 10 + 634 + 5 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×106345656² = 22618797100140672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106345656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106345651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22230 + ... + 26586.

Almost surely, 2^106345656 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 106345656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149043600).

106345656 is an abundant number, since it is smaller than the sum of its proper divisors (191741544).

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

106345656 is a wasteful number, since it uses less digits than its factorization.

106345656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 106345656 is about 10312.4030177258. The cubic root of 106345656 is about 473.7762122584.

It can be divided in two parts, 10634 and 5656, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 106345656 in words is "one hundred six million, three hundred forty-five thousand, six hundred fifty-six".