106424325704400 has 480 divisors, whose sum is σ = 393841254796416. Its totient is φ = 24278507520000.

The previous prime is 106424325704399. The next prime is 106424325704407. The reversal of 106424325704400 is 4407523424601.

It is a happy number.

It is a super-2 number, since 2×106424325704400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106424325704407) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1642800010 + ... + 1642864790.

Almost surely, 2^{106424325704400} is an apocalyptic number.

106424325704400 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 106424325704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196920627398208).

106424325704400 is an abundant number, since it is smaller than the sum of its proper divisors (287416929092016).

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

106424325704400 is a wasteful number, since it uses less digits than its factorization.

106424325704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72151 (or 72140 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 106424325704400 in words is "one hundred six trillion, four hundred twenty-four billion, three hundred twenty-five million, seven hundred four thousand, four hundred".