106255638 has 96 divisors (see below), whose sum is σ = 258935040. Its totient is φ = 32542560.

The previous prime is 106255621. The next prime is 106255663. The reversal of 106255638 is 836552601.

106255638 is a `hidden beast` number, since 10 + 6 + 2 + 5 + 5 + 638 = 666.

It is a super-2 number, since 2×106255638² = 22580521213574088, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 341503 + ... + 341813.

It is an arithmetic number, because the mean of its divisors is an integer number (2697240).

Almost surely, 2^106255638 is an apocalyptic number.

106255638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106255638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129467520).

106255638 is an abundant number, since it is smaller than the sum of its proper divisors (152679402).

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

106255638 is a wasteful number, since it uses less digits than its factorization.

106255638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 106255638 is about 10308.0375435870. The cubic root of 106255638 is about 473.6424960108.

The spelling of 106255638 in words is "one hundred six million, two hundred fifty-five thousand, six hundred thirty-eight".