105857368267401 has 81 divisors (see below), whose sum is σ = 163232811278901. Its totient is φ = 68644237641408.

The previous prime is 105857368267379. The next prime is 105857368267411. The reversal of 105857368267401 is 104762863758501.

It is a happy number.

The square root of 105857368267401 is 10288701.

It is a perfect power (a square), and thus also a powerful number.

105857368267401 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 5 + 7 + 368 + 267 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8235459323001 + 97621908944400 = 2869749^2 + 9880380^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 105857368267401 - 2²¹ = 105857366170249 is a prime.

It is a super-2 number, since 2×105857368267401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105857368267411) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30835235181 + ... + 30835238613.

Almost surely, 2^{105857368267401} is an apocalyptic number.

105857368267401 is the 10288701-st square number.

105857368267401 is the 5144351-st centered octagonal number.

It is an amenable number.

105857368267401 is a deficient number, since it is larger than the sum of its proper divisors (57375443011500).

105857368267401 is an frugal number, since it uses more digits than its factorization.

105857368267401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 105857368267401 in words is "one hundred five trillion, eight hundred fifty-seven billion, three hundred sixty-eight million, two hundred sixty-seven thousand, four hundred one".