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105412 = 2219273
BaseRepresentation
bin11001101111000100
312100121011
4121233010
511333122
62132004
7616216
oct315704
9170534
10105412
117221a
1251004
1338c98
142a5b6
1521377
hex19bc4

105412 has 18 divisors (see below), whose sum is σ = 197358. Its totient is φ = 49248.

The previous prime is 105407. The next prime is 105437. The reversal of 105412 is 214501.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 12996 = 304^2 + 114^2 .

It is a super-2 number, since 2×1054122 = 22223379488, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 105392 and 105401.

It is an unprimeable number.

105412 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1408 + ... + 1480.

2105412 is an apocalyptic number.

It is an amenable number.

105412 is a deficient number, since it is larger than the sum of its proper divisors (91946).

105412 is a wasteful number, since it uses less digits than its factorization.

105412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105412 is about 324.6721423221. The cubic root of 105412 is about 47.2385637150.

Adding to 105412 its reverse (214501), we get a palindrome (319913).

The spelling of 105412 in words is "one hundred five thousand, four hundred twelve".

Divisors: 1 2 4 19 38 73 76 146 292 361 722 1387 1444 2774 5548 26353 52706 105412