105473226377024 has 224 divisors, whose sum is σ = 241978237708800. Its totient is φ = 45110387496960.

The previous prime is 105473226376949. The next prime is 105473226377039. The reversal of 105473226377024 is 420773622374501.

It is a super-2 number, since 2×105473226377024² (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 31 ways as a sum of consecutive naturals, for example, 3442659434 + ... + 3442690070.

Almost surely, 2^{105473226377024} 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 105473226377024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120989118854400).

105473226377024 is an abundant number, since it is smaller than the sum of its proper divisors (136505011331776).

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

105473226377024 is a wasteful number, since it uses less digits than its factorization.

105473226377024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32421 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 53.

The spelling of 105473226377024 in words is "one hundred five trillion, four hundred seventy-three billion, two hundred twenty-six million, three hundred seventy-seven thousand, twenty-four".