106023456 has 216 divisors, whose sum is σ = 383174064. Its totient is φ = 27498240.

The previous prime is 106023443. The next prime is 106023481. The reversal of 106023456 is 654320601.

106023456 is a `hidden beast` number, since 1 + 0 + 602 + 3 + 4 + 56 = 666.

It is a super-2 number, since 2×106023456² = 22481946444367872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154891 + ... + 155573.

It is an arithmetic number, because the mean of its divisors is an integer number (1773954).

Almost surely, 2^106023456 is an apocalyptic number.

106023456 is a gapful number since it is divisible by the number (16) 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 106023456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191587032).

106023456 is an abundant number, since it is smaller than the sum of its proper divisors (277150608).

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

106023456 is a wasteful number, since it uses less digits than its factorization.

106023456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106023456 is about 10296.7692020361. The cubic root of 106023456 is about 473.2972548489.

The spelling of 106023456 in words is "one hundred six million, twenty-three thousand, four hundred fifty-six".