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105220460 = 2255261023
BaseRepresentation
bin1100100010110…
…00100101101100
321022222202100002
412101120211230
5203414023320
614235123432
72415234122
oct621304554
9238882302
10105220460
1154437764
122b2a3578
1318a50a37
14dd8d912
159386675
hex645896c

105220460 has 12 divisors (see below), whose sum is σ = 220963008. Its totient is φ = 42088176.

The previous prime is 105220447. The next prime is 105220471. The reversal of 105220460 is 64022501.

It is a happy number.

It is a super-2 number, since 2×1052204602 = 22142690405223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5261023 = 105220460 / (1 + 0 + 5 + 2 + 2 + 0 + 4 + 6 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2630492 + ... + 2630531.

It is an arithmetic number, because the mean of its divisors is an integer number (18413584).

Almost surely, 2105220460 is an apocalyptic number.

105220460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105220460 is an abundant number, since it is smaller than the sum of its proper divisors (115742548).

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

105220460 is a wasteful number, since it uses less digits than its factorization.

105220460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261032 (or 5261030 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 105220460 is about 10257.7024718014. The cubic root of 105220460 is about 472.0993458891.

Adding to 105220460 its reverse (64022501), we get a palindrome (169242961).

It can be divided in two parts, 1052 and 20460, that added together give a palindrome (21512).

The spelling of 105220460 in words is "one hundred five million, two hundred twenty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 5261023 10522046 21044092 26305115 52610230 105220460