106439256 has 192 divisors, whose sum is σ = 365713920. Its totient is φ = 27164160.

The previous prime is 106439243. The next prime is 106439257. The reversal of 106439256 is 652934601.

It is a happy number.

106439256 is a `hidden beast` number, since 1 + 0 + 643 + 9 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×106439256² = 22658630435667072, 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 106439256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106439257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404581 + ... + 404843.

It is an arithmetic number, because the mean of its divisors is an integer number (1904760).

Almost surely, 2^106439256 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 106439256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182856960).

106439256 is an abundant number, since it is smaller than the sum of its proper divisors (259274664).

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

106439256 is a wasteful number, since it uses less digits than its factorization.

106439256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106439256 is about 10316.9402440840. The cubic root of 106439256 is about 473.9151693514.

The spelling of 106439256 in words is "one hundred six million, four hundred thirty-nine thousand, two hundred fifty-six".