Search a number
-
+
105836399581 = 11891016910631
BaseRepresentation
bin110001010010001010…
…1110100101111011101
3101010011220212011100011
41202210111310233131
53213223104241311
6120342013203221
710434503360503
oct1424425645735
9333156764304
10105836399581
1140980985530
1218618490511
139c98a27013
1451a0244673
152b46808321
hex18a4574bdd

105836399581 has 16 divisors (see below), whose sum is σ = 116777635200. Its totient is φ = 95115539200.

The previous prime is 105836399521. The next prime is 105836399629. The reversal of 105836399581 is 185993638501.

It is not a de Polignac number, because 105836399581 - 29 = 105836399069 is a prime.

It is a super-2 number, since 2×1058363995812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105836399521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9950136 + ... + 9960766.

It is an arithmetic number, because the mean of its divisors is an integer number (7298602200).

Almost surely, 2105836399581 is an apocalyptic number.

105836399581 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105836399581 is a deficient number, since it is larger than the sum of its proper divisors (10941235619).

105836399581 is a wasteful number, since it uses less digits than its factorization.

105836399581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20900.

The product of its (nonzero) digits is 6998400, while the sum is 58.

The spelling of 105836399581 in words is "one hundred five billion, eight hundred thirty-six million, three hundred ninety-nine thousand, five hundred eighty-one".

Divisors: 1 11 89 979 10169 10631 111859 116941 905041 946159 9955451 10407749 108106639 1189173029 9621490871 105836399581