105744400 has 60 divisors (see below), whose sum is σ = 255733632. Its totient is φ = 42017920.

The previous prime is 105744337. The next prime is 105744451. The reversal of 105744400 is 4447501.

It is a super-2 number, since 2×105744400² = 22363756262720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66009 + ... + 67591.

Almost surely, 2^105744400 is an apocalyptic number.

105744400 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 105744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866816).

105744400 is an abundant number, since it is smaller than the sum of its proper divisors (149989232).

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

105744400 is a wasteful number, since it uses less digits than its factorization.

105744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 105744400 is about 10283.2096156793. The cubic root of 105744400 is about 472.8816471791.

The spelling of 105744400 in words is "one hundred five million, seven hundred forty-four thousand, four hundred".