105745500 has 240 divisors, whose sum is σ = 395338944. Its totient is φ = 24105600.

The previous prime is 105745499. The next prime is 105745511. The reversal of 105745500 is 5547501.

105745500 is a `hidden beast` number, since 105 + 7 + 4 + 550 + 0 = 666.

It is a super-2 number, since 2×105745500² = 22364221540500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 283314 + ... + 283686.

Almost surely, 2^105745500 is an apocalyptic number.

105745500 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 105745500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197669472).

105745500 is an abundant number, since it is smaller than the sum of its proper divisors (289593444).

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

105745500 is a wasteful number, since it uses less digits than its factorization.

105745500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 105745500 is about 10283.2631007866. The cubic root of 105745500 is about 472.8832868814.

The spelling of 105745500 in words is "one hundred five million, seven hundred forty-five thousand, five hundred".