106953456 has 40 divisors (see below), whose sum is σ = 277482240. Its totient is φ = 35498176.

The previous prime is 106953419. The next prime is 106953481. The reversal of 106953456 is 654359601.

It is a super-2 number, since 2×106953456² = 22878083500687872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6811 + ... + 16133.

It is an arithmetic number, because the mean of its divisors is an integer number (6937056).

Almost surely, 2^106953456 is an apocalyptic number.

106953456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106953456 is an abundant number, since it is smaller than the sum of its proper divisors (170528784).

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

106953456 is a wasteful number, since it uses less digits than its factorization.

106953456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9573 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 106953456 is about 10341.8303989188. The cubic root of 106953456 is about 474.6770931865.

The spelling of 106953456 in words is "one hundred six million, nine hundred fifty-three thousand, four hundred fifty-six".