105715700201010 has 16 divisors (see below), whose sum is σ = 253717680482496. Its totient is φ = 28190853386928.

The previous prime is 105715700200987. The next prime is 105715700201039. The reversal of 105715700201010 is 10102007517501.

It is a super-2 number, since 2×105715700201010² (a number of 29 digits) contains 22 as substring.

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: 3523856673367 = 105715700201010 / (1 + 0 + 5 + 7 + 1 + 5 + 7 + 0 + 0 + 2 + 0 + 1 + 0 + 1 + 0).

It is a Curzon 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, 1761928336654 + ... + 1761928336713.

It is an arithmetic number, because the mean of its divisors is an integer number (15857355030156).

Almost surely, 2^{105715700201010} is an apocalyptic number.

105715700201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105715700201010 is an abundant number, since it is smaller than the sum of its proper divisors (148001980281486).

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

105715700201010 is a wasteful number, since it uses less digits than its factorization.

105715700201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523856673377.

The product of its (nonzero) digits is 2450, while the sum is 30.

Adding to 105715700201010 its reverse (10102007517501), we get a palindrome (115817707718511).

The spelling of 105715700201010 in words is "one hundred five trillion, seven hundred fifteen billion, seven hundred million, two hundred one thousand, ten".