105661542224 has 80 divisors (see below), whose sum is σ = 247661589120. Its totient is φ = 42705169920.

The previous prime is 105661542199. The next prime is 105661542281. The reversal of 105661542224 is 422245166501.

It is a super-2 number, since 2×105661542224² (a number of 23 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 15 ways as a sum of consecutive naturals, for example, 238607 + ... + 517934.

It is an arithmetic number, because the mean of its divisors is an integer number (3095769864).

Almost surely, 2^105661542224 is an apocalyptic number.

105661542224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105661542224 is an abundant number, since it is smaller than the sum of its proper divisors (142000046896).

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

105661542224 is a wasteful number, since it uses less digits than its factorization.

105661542224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756628 (or 756622 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 105661542224 in words is "one hundred five billion, six hundred sixty-one million, five hundred forty-two thousand, two hundred twenty-four".