105040161801 has 15 divisors (see below), whose sum is σ = 156916204093. Its totient is φ = 70024829940.

The previous prime is 105040161749. The next prime is 105040161839. The reversal of 105040161801 is 108161040501.

The square root of 105040161801 is 324099.

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

105040161801 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 40 + 1 + 618 + 0 + 1 = 666.

It is not a de Polignac number, because 105040161801 - 2²³ = 105031773193 is a prime.

It is a super-2 number, since 2×105040161801² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105040161851) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2898886 + ... + 2934896.

Almost surely, 2^105040161801 is an apocalyptic number.

105040161801 is the 324099-th square number.

105040161801 is the 162050-th centered octagonal number.

It is an amenable number.

105040161801 is a deficient number, since it is larger than the sum of its proper divisors (51876042292).

105040161801 is an frugal number, since it uses more digits than its factorization.

105040161801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72034 (or 36014 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 105040161801 in words is "one hundred five billion, forty million, one hundred sixty-one thousand, eight hundred one".