105205707172010 has 8 divisors (see below), whose sum is σ = 189370272909636. Its totient is φ = 42082282868800.

The previous prime is 105205707172009. The next prime is 105205707172043. The reversal of 105205707172010 is 10271707502501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 90628743527569 + 14576963644441 = 9519913^2 + 3817979^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105205707172010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5260285358591 + ... + 5260285358610.

Almost surely, 2^{105205707172010} is an apocalyptic number.

105205707172010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105205707172010 is a deficient number, since it is larger than the sum of its proper divisors (84164565737626).

105205707172010 is a wasteful number, since it uses less digits than its factorization.

105205707172010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10520570717208.

The product of its (nonzero) digits is 34300, while the sum is 38.

The spelling of 105205707172010 in words is "one hundred five trillion, two hundred five billion, seven hundred seven million, one hundred seventy-two thousand, ten".