106509456 has 30 divisors (see below), whose sum is σ = 298078950. Its totient is φ = 35503104.

The previous prime is 106509451. The next prime is 106509457. The reversal of 106509456 is 654905601.

106509456 is a `hidden beast` number, since 106 + 509 + 45 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106502400 + 7056 = 10320^2 + 84^2 .

It is a super-2 number, since 2×106509456² = 22688528434831872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106509456.

It is not an unprimeable number, because it can be changed into a prime (106509451) 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 5 ways as a sum of consecutive naturals, for example, 369681 + ... + 369968.

It is an arithmetic number, because the mean of its divisors is an integer number (9935965).

Almost surely, 2^106509456 is an apocalyptic number.

106509456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106509456 is an abundant number, since it is smaller than the sum of its proper divisors (191569494).

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

106509456 is a wasteful number, since it uses less digits than its factorization.

106509456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739663 (or 739654 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106509456 is about 10320.3418548031. The cubic root of 106509456 is about 474.0193337198.

The spelling of 106509456 in words is "one hundred six million, five hundred nine thousand, four hundred fifty-six".