105555247644 has 96 divisors (see below), whose sum is σ = 307836652032. Its totient is φ = 27348480000.

The previous prime is 105555247579. The next prime is 105555247673. The reversal of 105555247644 is 446742555501.

It is a super-2 number, since 2×105555247644² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105555247593 and 105555247602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228084 + ... + 512964.

It is an arithmetic number, because the mean of its divisors is an integer number (3206631792).

Almost surely, 2^105555247644 is an apocalyptic number.

105555247644 is a gapful number since it is divisible by the number (14) 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 105555247644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153918326016).

105555247644 is an abundant number, since it is smaller than the sum of its proper divisors (202281404388).

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

105555247644 is a wasteful number, since it uses less digits than its factorization.

105555247644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285307 (or 285305 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 48.

The spelling of 105555247644 in words is "one hundred five billion, five hundred fifty-five million, two hundred forty-seven thousand, six hundred forty-four".