105715700 has 18 divisors (see below), whose sum is σ = 229403286. Its totient is φ = 42286240.

The previous prime is 105715691. The next prime is 105715711. The reversal of 105715700 is 7517501.

It can be written as a sum of positive squares in 3 ways, for example, as 14092516 + 91623184 = 3754^2 + 9572^2 .

It is a super-2 number, since 2×105715700² = 22351618452980000, 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 105715700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 528479 + ... + 528678.

It is an arithmetic number, because the mean of its divisors is an integer number (12744627).

Almost surely, 2^105715700 is an apocalyptic number.

105715700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105715700 is an abundant number, since it is smaller than the sum of its proper divisors (123687586).

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

105715700 is a wasteful number, since it uses less digits than its factorization.

105715700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057171 (or 1057164 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 26.

The square root of 105715700 is about 10281.8140422787. The cubic root of 105715700 is about 472.8388618360.

The spelling of 105715700 in words is "one hundred five million, seven hundred fifteen thousand, seven hundred".