106244403502560 has 96 divisors (see below), whose sum is σ = 334680361287552. Its totient is φ = 28330952870400.

The previous prime is 106244403502507. The next prime is 106244403502603. The reversal of 106244403502560 is 65205304442601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106244403502560² (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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11931507 + ... + 18837453.

It is an arithmetic number, because the mean of its divisors is an integer number (3486253763412).

Almost surely, 2^{106244403502560} is an apocalyptic number.

106244403502560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106244403502560 is an abundant number, since it is smaller than the sum of its proper divisors (228435957784992).

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

106244403502560 is a wasteful number, since it uses less digits than its factorization.

106244403502560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938016 (or 6938008 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 106244403502560 in words is "one hundred six trillion, two hundred forty-four billion, four hundred three million, five hundred two thousand, five hundred sixty".