105273800 has 48 divisors (see below), whose sum is σ = 248802900. Its totient is φ = 41414400.

The previous prime is 105273767. The next prime is 105273821. The reversal of 105273800 is 8372501.

It can be written as a sum of positive squares in 6 ways, for example, as 22791076 + 82482724 = 4774^2 + 9082^2 .

It is a super-2 number, since 2×105273800² = 22165145932880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105273800.

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, 7886 + ... + 16514.

Almost surely, 2^105273800 is an apocalyptic number.

105273800 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 105273800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124401450).

105273800 is an abundant number, since it is smaller than the sum of its proper divisors (143529100).

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

105273800 is a wasteful number, since it uses less digits than its factorization.

105273800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8706 (or 8697 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 105273800 is about 10260.3021398008. The cubic root of 105273800 is about 472.1791070722.

The spelling of 105273800 in words is "one hundred five million, two hundred seventy-three thousand, eight hundred".