Search a number
-
+
105360921460 = 22521124967043
BaseRepresentation
bin110001000100000000…
…0000001001101110100
3101001221210011100222101
41202020000001031310
53211234343441320
6120222510111444
710416641025064
oct1421000011564
9331853140871
10105360921460
1140757547803
12185051ab584
139c21379612
1451570333a4
152b19bd5c0a
hex1888001374

105360921460 has 24 divisors (see below), whose sum is σ = 222306559776. Its totient is φ = 41944630560.

The previous prime is 105360921397. The next prime is 105360921473. The reversal of 105360921460 is 64129063501.

It is a super-2 number, since 2×1053609214602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 12479302 + ... + 12487741.

It is an arithmetic number, because the mean of its divisors is an integer number (9262773324).

Almost surely, 2105360921460 is an apocalyptic number.

105360921460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105360921460 is an abundant number, since it is smaller than the sum of its proper divisors (116945638316).

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

105360921460 is a wasteful number, since it uses less digits than its factorization.

105360921460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24967263 (or 24967261 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

Adding to 105360921460 its reverse (64129063501), we get a palindrome (169489984961).

The spelling of 105360921460 in words is "one hundred five billion, three hundred sixty million, nine hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 211 422 844 1055 2110 4220 24967043 49934086 99868172 124835215 249670430 499340860 5268046073 10536092146 21072184292 26340230365 52680460730 105360921460