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105444031 = 731127947
BaseRepresentation
bin1100100100011…
…11001010111111
321100102010000111
412102033022333
5203443202111
614244010451
72420155000
oct622171277
9240363014
10105444031
115457a730
122b390a27
1318acb724
141000b1a7
1593cca21
hex648f2bf

105444031 has 16 divisors (see below), whose sum is σ = 134150400. Its totient is φ = 82161240.

The previous prime is 105444023. The next prime is 105444037. The reversal of 105444031 is 130444501.

It is not a de Polignac number, because 105444031 - 23 = 105444023 is a prime.

It is a super-2 number, since 2×1054440312 = 22236887347057922, 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 = 105443993 and 105444011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105444037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10201 + ... + 17746.

It is an arithmetic number, because the mean of its divisors is an integer number (8384400).

Almost surely, 2105444031 is an apocalyptic number.

105444031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105444031 is a deficient number, since it is larger than the sum of its proper divisors (28706369).

105444031 is an equidigital number, since it uses as much as digits as its factorization.

105444031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27979 (or 27965 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 105444031 is about 10268.5944023513. The cubic root of 105444031 is about 472.4334794328.

Adding to 105444031 its reverse (130444501), we get a palindrome (235888532).

The spelling of 105444031 in words is "one hundred five million, four hundred forty-four thousand, thirty-one".

Divisors: 1 7 11 49 77 343 539 3773 27947 195629 307417 1369403 2151919 9585821 15063433 105444031