106456400 has 60 divisors (see below), whose sum is σ = 262710492. Its totient is φ = 41425920.

The previous prime is 106456369. The next prime is 106456421. The reversal of 106456400 is 4654601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3474496 + 102981904 = 1864^2 + 10148^2 .

It is a super-2 number, since 2×106456400² = 22665930201920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106456400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11204 + ... + 18396.

Almost surely, 2^106456400 is an apocalyptic number.

106456400 is a gapful number since it is divisible by the number (10) 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 106456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131355246).

106456400 is an abundant number, since it is smaller than the sum of its proper divisors (156254092).

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

106456400 is a wasteful number, since it uses less digits than its factorization.

106456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7248 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 106456400 is about 10317.7710771271. The cubic root of 106456400 is about 473.9406122371.

The spelling of 106456400 in words is "one hundred six million, four hundred fifty-six thousand, four hundred".