105774493440 has 288 divisors, whose sum is σ = 421175978496. Its totient is φ = 21979054080.

The previous prime is 105774493373. The next prime is 105774493519. The reversal of 105774493440 is 44394477501.

It is a super-2 number, since 2×105774493440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 105774493440.

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, 116814 + ... + 474546.

It is an arithmetic number, because the mean of its divisors is an integer number (1462416592).

Almost surely, 2^105774493440 is an apocalyptic number.

105774493440 is a gapful number since it is divisible by the number (10) 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 105774493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210587989248).

105774493440 is an abundant number, since it is smaller than the sum of its proper divisors (315401485056).

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

105774493440 is a wasteful number, since it uses less digits than its factorization.

105774493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357775 (or 357761 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 105774493440 in words is "one hundred five billion, seven hundred seventy-four million, four hundred ninety-three thousand, four hundred forty".