105644966448 has 320 divisors, whose sum is σ = 334624931840. Its totient is φ = 28050333696.

The previous prime is 105644966411. The next prime is 105644966461. The reversal of 105644966448 is 844669446501.

It is a super-2 number, since 2×105644966448² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156975840 + ... + 156976512.

It is an arithmetic number, because the mean of its divisors is an integer number (1045702912).

Almost surely, 2^105644966448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105644966448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167312465920).

105644966448 is an abundant number, since it is smaller than the sum of its proper divisors (228979965392).

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

105644966448 is a wasteful number, since it uses less digits than its factorization.

105644966448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 105644966448 in words is "one hundred five billion, six hundred forty-four million, nine hundred sixty-six thousand, four hundred forty-eight".