106456456 has 8 divisors (see below), whose sum is σ = 199605870. Its totient is φ = 53228224.

The previous prime is 106456453. The next prime is 106456513. The reversal of 106456456 is 654654601.

It can be written as a sum of positive squares in only one way, i.e., 59752900 + 46703556 = 7730^2 + 6834^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×106456456² = 22665954048159872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106456453) 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 as a sum of consecutive naturals, namely, 6653521 + ... + 6653536.

Almost surely, 2^106456456 is an apocalyptic number.

It is an amenable number.

106456456 is a deficient number, since it is larger than the sum of its proper divisors (93149414).

106456456 is a wasteful number, since it uses less digits than its factorization.

106456456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13307063 (or 13307059 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 106456456 is about 10317.7737908911. The cubic root of 106456456 is about 473.9406953405.

The spelling of 106456456 in words is "one hundred six million, four hundred fifty-six thousand, four hundred fifty-six".