105273870 has 64 divisors (see below), whose sum is σ = 286433280. Its totient is φ = 24547968.

The previous prime is 105273859. The next prime is 105273871. The reversal of 105273870 is 78372501.

It is a super-2 number, since 2×105273870² = 22165175409553800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105273871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307 + ... + 14513.

It is an arithmetic number, because the mean of its divisors is an integer number (4475520).

Almost surely, 2^105273870 is an apocalyptic number.

105273870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105273870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143216640).

105273870 is an abundant number, since it is smaller than the sum of its proper divisors (181159410).

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

105273870 is a wasteful number, since it uses less digits than its factorization.

105273870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14249.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 105273870 is about 10260.3055510058. The cubic root of 105273870 is about 472.1792117279.

The spelling of 105273870 in words is "one hundred five million, two hundred seventy-three thousand, eight hundred seventy".