106265556 has 72 divisors (see below), whose sum is σ = 289409120. Its totient is φ = 32768064.

The previous prime is 106265503. The next prime is 106265567. The reversal of 106265556 is 655562601.

It is a happy number.

It is a super-2 number, since 2×106265556² = 22584736783978272, 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 106265556.

It is a congruent number.

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, 27606 + ... + 31218.

Almost surely, 2^106265556 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 106265556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144704560).

106265556 is an abundant number, since it is smaller than the sum of its proper divisors (183143564).

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

106265556 is a wasteful number, since it uses less digits than its factorization.

106265556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 106265556 is about 10308.5186132635. The cubic root of 106265556 is about 473.6572322959.

The spelling of 106265556 in words is "one hundred six million, two hundred sixty-five thousand, five hundred fifty-six".