106626456 has 112 divisors (see below), whose sum is σ = 306914400. Its totient is φ = 34696512.

The previous prime is 106626449. The next prime is 106626467. The reversal of 106626456 is 654626601.

It is a happy number.

106626456 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 2 + 645 + 6 = 666.

It is a super-2 number, since 2×106626456² = 22738402238239872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 106626456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 273910 + ... + 274298.

Almost surely, 2^106626456 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 106626456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153457200).

106626456 is an abundant number, since it is smaller than the sum of its proper divisors (200287944).

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

106626456 is an equidigital number, since it uses as much as digits as its factorization.

106626456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 441 counting only the distinct ones).

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

The square root of 106626456 is about 10326.0087158592. The cubic root of 106626456 is about 474.1928393374.

The spelling of 106626456 in words is "one hundred six million, six hundred twenty-six thousand, four hundred fifty-six".