106456 has 16 divisors (see below), whose sum is σ = 228240. Its totient is φ = 45600.

The previous prime is 106453. The next prime is 106487. The reversal of 106456 is 654601.

It is a super-2 number, since 2×106456² = 22665759872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106451) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 895 + ... + 1006.

It is an arithmetic number, because the mean of its divisors is an integer number (14265).

2¹⁰⁶⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

106456 is an abundant number, since it is smaller than the sum of its proper divisors (121784).

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

106456 is a wasteful number, since it uses less digits than its factorization.

106456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 106456 is about 326.2759568218. The cubic root of 106456 is about 47.3940018640.

The spelling of 106456 in words is "one hundred six thousand, four hundred fifty-six".