105727700 has 72 divisors (see below), whose sum is σ = 249067392. Its totient is φ = 38724480.

The previous prime is 105727691. The next prime is 105727753. The reversal of 105727700 is 7727501.

It is a super-2 number, since 2×105727700² = 22356693094580000, which 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216857 + ... + 217343.

Almost surely, 2^105727700 is an apocalyptic number.

105727700 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 105727700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124533696).

105727700 is an abundant number, since it is smaller than the sum of its proper divisors (143339692).

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

105727700 is a wasteful number, since it uses less digits than its factorization.

105727700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 29.

The square root of 105727700 is about 10282.3975803312. The cubic root of 105727700 is about 472.8567521199.

The spelling of 105727700 in words is "one hundred five million, seven hundred twenty-seven thousand, seven hundred".