106256600 has 96 divisors (see below), whose sum is σ = 258264720. Its totient is φ = 40619520.

The previous prime is 106256597. The next prime is 106256629. The reversal of 106256600 is 6652601.

It is a super-2 number, since 2×106256600² = 22580930087120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106256600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614114 + ... + 614286.

Almost surely, 2^106256600 is an apocalyptic number.

106256600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106256600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129132360).

106256600 is an abundant number, since it is smaller than the sum of its proper divisors (152008120).

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

106256600 is a wasteful number, since it uses less digits than its factorization.

106256600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 106256600 is about 10308.0842060977. The cubic root of 106256600 is about 473.6439254022.

The spelling of 106256600 in words is "one hundred six million, two hundred fifty-six thousand, six hundred".