Search a number
-
+
105051304 = 231923151199
BaseRepresentation
bin1100100001011…
…11010010101000
321022200011022001
412100233102220
5203343120204
614231340344
72413631011
oct620572250
9238604261
10105051304
1154331666
122b2216b4
13189c1a47
14dd48008
1593514a4
hex642f4a8

105051304 has 64 divisors (see below), whose sum is σ = 218880000. Its totient is φ = 47044800.

The previous prime is 105051301. The next prime is 105051367. The reversal of 105051304 is 403150501.

It is a super-2 number, since 2×1050513042 = 22071552944200832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (105051301) 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, 527797 + ... + 527995.

It is an arithmetic number, because the mean of its divisors is an integer number (3420000).

Almost surely, 2105051304 is an apocalyptic number.

It is an amenable number.

105051304 is an abundant number, since it is smaller than the sum of its proper divisors (113828696).

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

105051304 is a wasteful number, since it uses less digits than its factorization.

105051304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105051304 is about 10249.4538391077. The cubic root of 105051304 is about 471.8462225276.

The spelling of 105051304 in words is "one hundred five million, fifty-one thousand, three hundred four".

Divisors: 1 2 4 8 19 23 38 46 76 92 151 152 184 199 302 398 437 604 796 874 1208 1592 1748 2869 3473 3496 3781 4577 5738 6946 7562 9154 11476 13892 15124 18308 22952 27784 30049 30248 36616 60098 65987 86963 120196 131974 173926 240392 263948 347852 527896 570931 691127 695704 1141862 1382254 2283724 2764508 4567448 5529016 13131413 26262826 52525652 105051304