Search a number
-
+
105350308 = 22719071973
BaseRepresentation
bin1100100011110…
…00010010100100
321100020100110021
412101320102210
5203432202213
614242004524
72416314520
oct621702244
9240210407
10105350308
1154516278
122b346744
1318a97b7b
14ddc4d80
1593aed8d
hex64784a4

105350308 has 24 divisors (see below), whose sum is σ = 210917952. Its totient is φ = 45103584.

The previous prime is 105350303. The next prime is 105350321. The reversal of 105350308 is 803053501.

It is a happy number.

It is a super-2 number, since 2×1053503082 = 22197374791389728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105350303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52410 + ... + 54382.

It is an arithmetic number, because the mean of its divisors is an integer number (8788248).

Almost surely, 2105350308 is an apocalyptic number.

It is an amenable number.

105350308 is an abundant number, since it is smaller than the sum of its proper divisors (105567644).

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

105350308 is a wasteful number, since it uses less digits than its factorization.

105350308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 105350308 is about 10264.0298128951. The cubic root of 105350308 is about 472.2934651595.

The spelling of 105350308 in words is "one hundred five million, three hundred fifty thousand, three hundred eight".

Divisors: 1 2 4 7 14 28 1907 1973 3814 3946 7628 7892 13349 13811 26698 27622 53396 55244 3762511 7525022 15050044 26337577 52675154 105350308