106707456 has 200 divisors, whose sum is σ = 332728704. Its totient is φ = 34007040.

The previous prime is 106707451. The next prime is 106707457. The reversal of 106707456 is 654707601.

It is a super-2 number, since 2×106707456² = 22772962331983872, 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 106707456.

It is not an unprimeable number, because it can be changed into a prime (106707451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1285591 + ... + 1285673.

Almost surely, 2^106707456 is an apocalyptic number.

106707456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166364352).

106707456 is an abundant number, since it is smaller than the sum of its proper divisors (226021248).

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

106707456 is an frugal number, since it uses more digits than its factorization.

106707456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 106707456 is about 10329.9301062495. The cubic root of 106707456 is about 474.3128842725.

The spelling of 106707456 in words is "one hundred six million, seven hundred seven thousand, four hundred fifty-six".