105773440 has 128 divisors (see below), whose sum is σ = 269892000. Its totient is φ = 39567360.

The previous prime is 105773429. The next prime is 105773449. The reversal of 105773440 is 44377501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105773440² = 22376041218867200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105773449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760891 + ... + 761029.

Almost surely, 2^105773440 is an apocalyptic number.

105773440 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 105773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134946000).

105773440 is an abundant number, since it is smaller than the sum of its proper divisors (164118560).

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

105773440 is a wasteful number, since it uses less digits than its factorization.

105773440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 105773440 is about 10284.6215292542. The cubic root of 105773440 is about 472.9249315079.

The spelling of 105773440 in words is "one hundred five million, seven hundred seventy-three thousand, four hundred forty".