106456644403200 has 4320 divisors, whose sum is σ = 494906057318400. Its totient is φ = 21961554001920.

The previous prime is 106456644403181. The next prime is 106456644403237. The reversal of 106456644403200 is 2304446654601.

106456644403200 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 566 + 44 + 40 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×106456644403200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1033559654349 + ... + 1033559654451.

Almost surely, 2^{106456644403200} is an apocalyptic number.

106456644403200 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 106456644403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247453028659200).

106456644403200 is an abundant number, since it is smaller than the sum of its proper divisors (388449412915200).

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

106456644403200 is a wasteful number, since it uses less digits than its factorization.

106456644403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 106456644403200 in words is "one hundred six trillion, four hundred fifty-six billion, six hundred forty-four million, four hundred three thousand, two hundred".