106456896 has 224 divisors, whose sum is σ = 385754880. Its totient is φ = 28035072.

The previous prime is 106456859. The next prime is 106456919. The reversal of 106456896 is 698654601.

106456896 is a `hidden beast` number, since 106 + 456 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×106456896² = 22666141411909632, 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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156910 + ... + 157586.

It is an arithmetic number, because the mean of its divisors is an integer number (1722120).

Almost surely, 2^106456896 is an apocalyptic number.

106456896 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 106456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192877440).

106456896 is an abundant number, since it is smaller than the sum of its proper divisors (279297984).

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

106456896 is a wasteful number, since it uses less digits than its factorization.

106456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 106456896 is about 10317.7951132982. The cubic root of 106456896 is about 473.9413482949.

The spelling of 106456896 in words is "one hundred six million, four hundred fifty-six thousand, eight hundred ninety-six".