106265948880000 has 640 divisors, whose sum is σ = 434121013307520. Its totient is φ = 22420942848000.

The previous prime is 106265948879989. The next prime is 106265948880017. The reversal of 106265948880000 is 88849562601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×106265948880000² (a number of 29 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 19407172 + ... + 24272828.

It is an arithmetic number, because the mean of its divisors is an integer number (678314083293).

Almost surely, 2^{106265948880000} is an apocalyptic number.

106265948880000 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 106265948880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217060506653760).

106265948880000 is an abundant number, since it is smaller than the sum of its proper divisors (327855064427520).

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

106265948880000 is an equidigital number, since it uses as much as digits as its factorization.

106265948880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4865714 (or 4865687 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 106265948880000 in words is "one hundred six trillion, two hundred sixty-five billion, nine hundred forty-eight million, eight hundred eighty thousand".