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106035474305442 = 2311101151105343787
BaseRepresentation
bin11000000111000001001110…
…110001111001000110100010
3111220102220002112000111212110
4120013001032301321012202
5102344241122410233232
61013304005135140150
731222544621236443
oct3007011661710642
9456386075014773
10106035474305442
11308714349a7330
12ba86475974656
134722143a56406
141c282040d52ca
15c3d35cc77acc
hex60704ec791a2

106035474305442 has 64 divisors (see below), whose sum is σ = 235188012837888. Its totient is φ = 31603135800000.

The previous prime is 106035474305441. The next prime is 106035474305521. The reversal of 106035474305442 is 244503474530601.

It is a super-2 number, since 2×1060354743054422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106035474305391 and 106035474305400.

It is not an unprimeable number, because it can be changed into a prime (106035474305441) 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, 51665328 + ... + 53678459.

It is an arithmetic number, because the mean of its divisors is an integer number (3674812700592).

Almost surely, 2106035474305442 is an apocalyptic number.

106035474305442 is an abundant number, since it is smaller than the sum of its proper divisors (129152538532446).

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

106035474305442 is a wasteful number, since it uses less digits than its factorization.

106035474305442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105344055.

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 106035474305442 in words is "one hundred six trillion, thirty-five billion, four hundred seventy-four million, three hundred five thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 151 202 302 303 453 606 906 1111 1661 2222 3322 3333 4983 6666 9966 15251 30502 45753 91506 167761 335522 503283 1006566 105343787 210687574 316031361 632062722 1158781657 2317563314 3476344971 6952689942 10639722487 15906911837 21279444974 31813823674 31919167461 47720735511 63838334922 95441471022 117036947357 174976030207 234073894714 349952060414 351110842071 524928090621 702221684142 1049856181242 1606598095537 3213196191074 4819794286611 9639588573222 17672579050907 35345158101814 53017737152721 106035474305442