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105371461 = 1361891493
BaseRepresentation
bin1100100011111…
…01011101000101
321100021102110201
412101331131011
5203433341321
614242250501
72416433266
oct621753505
9240242421
10105371461
1154530158
122b356a31
1318aa46a0
14ddcc96d
1593b6291
hex647d745

105371461 has 16 divisors (see below), whose sum is σ = 116711280. Its totient is φ = 94533120.

The previous prime is 105371447. The next prime is 105371467. The reversal of 105371461 is 164173501.

It can be written as a sum of positive squares in 8 ways, for example, as 20160100 + 85211361 = 4490^2 + 9231^2 .

It is a cyclic number.

It is not a de Polignac number, because 105371461 - 25 = 105371429 is a prime.

It is a super-2 number, since 2×1053714612 = 22206289586549042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105371467) 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, 69831 + ... + 71323.

It is an arithmetic number, because the mean of its divisors is an integer number (7294455).

Almost surely, 2105371461 is an apocalyptic number.

It is an amenable number.

105371461 is a deficient number, since it is larger than the sum of its proper divisors (11339819).

105371461 is a wasteful number, since it uses less digits than its factorization.

105371461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 105371461 is about 10265.0602044021. The cubic root of 105371461 is about 472.3250732148.

The spelling of 105371461 in words is "one hundred five million, three hundred seventy-one thousand, four hundred sixty-one".

Divisors: 1 13 61 89 793 1157 1493 5429 19409 70577 91073 132877 1183949 1727401 8105497 105371461