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105043631 = 7111364203
BaseRepresentation
bin1100100001011…
…01011010101111
321022122202202212
412100231122233
5203342344011
614231241035
72413566440
oct620553257
9238582685
10105043631
1154326920
122b21917b
13189bb3c4
14dd452c7
15934e08b
hex642d6af

105043631 has 8 divisors (see below), whose sum is σ = 130963584. Its totient is φ = 81852120.

The previous prime is 105043619. The next prime is 105043643. The reversal of 105043631 is 136340501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105043619) and next prime (105043643).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105043631 - 26 = 105043567 is a prime.

It is a super-2 number, since 2×1050436312 = 22068328827328322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105043597 and 105043606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105043651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682025 + ... + 682178.

It is an arithmetic number, because the mean of its divisors is an integer number (16370448).

Almost surely, 2105043631 is an apocalyptic number.

105043631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105043631 is a deficient number, since it is larger than the sum of its proper divisors (25919953).

105043631 is a wasteful number, since it uses less digits than its factorization.

105043631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364221.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 105043631 is about 10249.0795196447. The cubic root of 105043631 is about 471.8347342862.

The spelling of 105043631 in words is "one hundred five million, forty-three thousand, six hundred thirty-one".

Divisors: 1 7 11 77 1364203 9549421 15006233 105043631