106869708229120 has 320 divisors, whose sum is σ = 273687386886144. Its totient is φ = 39924974960640.

The previous prime is 106869708229111. The next prime is 106869708229139. The reversal of 106869708229120 is 21922807968601.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×106869708229120² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10813483699 + ... + 10813493581.

Almost surely, 2^{106869708229120} is an apocalyptic number.

106869708229120 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 106869708229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136843693443072).

106869708229120 is an abundant number, since it is smaller than the sum of its proper divisors (166817678657024).

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

106869708229120 is an equidigital number, since it uses as much as digits as its factorization.

106869708229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14243 (or 14227 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 61.

The spelling of 106869708229120 in words is "one hundred six trillion, eight hundred sixty-nine billion, seven hundred eight million, two hundred twenty-nine thousand, one hundred twenty".