106903956576000 has 576 divisors, whose sum is σ = 371166389508096. Its totient is φ = 27220672512000.

The previous prime is 106903956575993. The next prime is 106903956576059. The reversal of 106903956576000 is 675659309601.

It is a happy number.

It is a super-2 number, since 2×106903956576000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1273974045 + ... + 1274057955.

It is an arithmetic number, because the mean of its divisors is an integer number (644386092896).

Almost surely, 2^{106903956576000} is an apocalyptic number.

106903956576000 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 106903956576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185583194754048).

106903956576000 is an abundant number, since it is smaller than the sum of its proper divisors (264262432932096).

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

106903956576000 is an equidigital number, since it uses as much as digits as its factorization.

106903956576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84545 (or 84521 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 57.

The spelling of 106903956576000 in words is "one hundred six trillion, nine hundred three billion, nine hundred fifty-six million, five hundred seventy-six thousand".