Search a number
-
+
105361543542 = 23712632833323
BaseRepresentation
bin110001000100000001…
…0011001000101110110
3101001221211022222022110
41202020002121011312
53211240023343132
6120222531311450
710416646225533
oct1421002310566
9331854288273
10105361543542
1140757932122
121850544b586
139c21536808
145157155d8a
152b19caa1cc
hex1888099176

105361543542 has 64 divisors (see below), whose sum is σ = 215326273536. Its totient is φ = 34361970720.

The previous prime is 105361543523. The next prime is 105361543549. The reversal of 105361543542 is 245345163501.

It is a happy number.

It is a super-2 number, since 2×1053615435422 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105361543542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105361543549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31705093 + ... + 31708415.

It is an arithmetic number, because the mean of its divisors is an integer number (3364473024).

Almost surely, 2105361543542 is an apocalyptic number.

105361543542 is an abundant number, since it is smaller than the sum of its proper divisors (109964729994).

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

105361543542 is a wasteful number, since it uses less digits than its factorization.

105361543542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945.

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 105361543542 in words is "one hundred five billion, three hundred sixty-one million, five hundred forty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 71 142 213 263 283 426 526 566 789 849 1578 1698 3323 6646 9969 18673 19938 20093 37346 40186 56019 60279 74429 112038 120558 148858 223287 235933 446574 471866 707799 873949 940409 1415598 1747898 1880818 2621847 2821227 5243694 5284459 5642454 10568918 15853377 31706754 62050379 66769039 124100758 133538078 186151137 200307117 247327567 372302274 400614234 494655134 741982701 1483965402 17560257257 35120514514 52680771771 105361543542