106456724 has 24 divisors (see below), whose sum is σ = 205339008. Its totient is φ = 47888640.

The previous prime is 106456723. The next prime is 106456747. The reversal of 106456724 is 427654601.

It is a super-2 number, since 2×106456724² = 22666068169624352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106456723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8204 + ... + 16739.

It is an arithmetic number, because the mean of its divisors is an integer number (8555792).

Almost surely, 2^106456724 is an apocalyptic number.

It is an amenable number.

106456724 is a deficient number, since it is larger than the sum of its proper divisors (98882284).

106456724 is a wasteful number, since it uses less digits than its factorization.

106456724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25055 (or 25053 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 106456724 is about 10317.7867781807. The cubic root of 106456724 is about 473.9410930493.

The spelling of 106456724 in words is "one hundred six million, four hundred fifty-six thousand, seven hundred twenty-four".