106109729843200 has 288 divisors, whose sum is σ = 268167375173880. Its totient is φ = 41625111756800.

The previous prime is 106109729843179. The next prime is 106109729843233. The reversal of 106109729843200 is 2348927901601.

It can be written as a sum of positive squares in 12 ways, for example, as 12860887819264 + 93248842023936 = 3586208^2 + 9656544^2 .

It is a super-2 number, since 2×106109729843200² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7535660160 + ... + 7535674240.

Almost surely, 2^{106109729843200} is an apocalyptic number.

106109729843200 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 106109729843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134083687586940).

106109729843200 is an abundant number, since it is smaller than the sum of its proper divisors (162057645330680).

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

106109729843200 is a wasteful number, since it uses less digits than its factorization.

106109729843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16943 (or 16918 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 106109729843200 in words is "one hundred six trillion, one hundred nine billion, seven hundred twenty-nine million, eight hundred forty-three thousand, two hundred".