105342870 has 16 divisors (see below), whose sum is σ = 252822960. Its totient is φ = 28091424.

The previous prime is 105342793. The next prime is 105342889. The reversal of 105342870 is 78243501.

It is a super-3 number, since 3×105342870³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3511429 = 105342870 / (1 + 0 + 5 + 3 + 4 + 2 + 8 + 7 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1755685 + ... + 1755744.

It is an arithmetic number, because the mean of its divisors is an integer number (15801435).

Almost surely, 2^105342870 is an apocalyptic number.

105342870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105342870 is an abundant number, since it is smaller than the sum of its proper divisors (147480090).

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

105342870 is a wasteful number, since it uses less digits than its factorization.

105342870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511439.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 105342870 is about 10263.6674731794. The cubic root of 105342870 is about 472.2823498575.

The spelling of 105342870 in words is "one hundred five million, three hundred forty-two thousand, eight hundred seventy".