106256970547200 has 2280 divisors, whose sum is σ = 444042668450304. Its totient is φ = 24885854208000.

The previous prime is 106256970547187. The next prime is 106256970547241. The reversal of 106256970547200 is 2745079652601.

It is a happy number.

106256970547200 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 5 + 6 + 9 + 70 + 547 + 20 + 0 = 666.

It is a super-2 number, since 2×106256970547200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 181016985307 + ... + 181016985893.

Almost surely, 2^{106256970547200} is an apocalyptic number.

106256970547200 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 106256970547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222021334225152).

106256970547200 is an abundant number, since it is smaller than the sum of its proper divisors (337785697903104).

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

106256970547200 is an frugal number, since it uses more digits than its factorization.

106256970547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 106256970547200 in words is "one hundred six trillion, two hundred fifty-six billion, nine hundred seventy million, five hundred forty-seven thousand, two hundred".