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105575645 = 572430921
BaseRepresentation
bin1100100101011…
…11010011011101
321100122210120002
412102233103131
5204011410040
614250504045
72421243500
oct622572335
9240583502
10105575645
115465a5aa
122b435025
1318b465c6
1410043137
159406a15
hex64af4dd

105575645 has 12 divisors (see below), whose sum is σ = 147375324. Its totient is φ = 72394560.

The previous prime is 105575633. The next prime is 105575653. The reversal of 105575645 is 546575501.

It can be written as a sum of positive squares in 2 ways, for example, as 47251876 + 58323769 = 6874^2 + 7637^2 .

It is not a de Polignac number, because 105575645 - 212 = 105571549 is a prime.

It is a super-2 number, since 2×1055756452 = 22292433634332050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105575599 and 105575608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215216 + ... + 215705.

It is an arithmetic number, because the mean of its divisors is an integer number (12281277).

Almost surely, 2105575645 is an apocalyptic number.

It is an amenable number.

105575645 is a deficient number, since it is larger than the sum of its proper divisors (41799679).

105575645 is an equidigital number, since it uses as much as digits as its factorization.

105575645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430940 (or 430933 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 38.

The square root of 105575645 is about 10275.0009732360. Note that the first 3 decimals coincide. The cubic root of 105575645 is about 472.6299596792.

The spelling of 105575645 in words is "one hundred five million, five hundred seventy-five thousand, six hundred forty-five".

Divisors: 1 5 7 35 49 245 430921 2154605 3016447 15082235 21115129 105575645