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105741445 = 517101109113
BaseRepresentation
bin1100100110101…
…11110010000101
321100222012222211
412103113302011
5204032211240
614254223421
72422534045
oct623276205
9240865884
10105741445
1154763127
122b4b4b71
1318ba3c04
1410087725
15943abea
hex64d7c85

105741445 has 32 divisors (see below), whose sum is σ = 138140640. Its totient is φ = 77414400.

The previous prime is 105741439. The next prime is 105741451. The reversal of 105741445 is 544147501.

It is an interprime number because it is at equal distance from previous prime (105741439) and next prime (105741451).

It can be written as a sum of positive squares in 16 ways, for example, as 6360484 + 99380961 = 2522^2 + 9969^2 .

It is not a de Polignac number, because 105741445 - 213 = 105733253 is a prime.

It is a super-2 number, since 2×1057414452 = 22362506381376050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935709 + ... + 935821.

It is an arithmetic number, because the mean of its divisors is an integer number (4316895).

Almost surely, 2105741445 is an apocalyptic number.

It is an amenable number.

105741445 is a deficient number, since it is larger than the sum of its proper divisors (32399195).

105741445 is a wasteful number, since it uses less digits than its factorization.

105741445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345.

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 105741445 is about 10283.0659338546. The cubic root of 105741445 is about 472.8772422861.

Adding to 105741445 its reverse (544147501), we get a palindrome (649888946).

The spelling of 105741445 in words is "one hundred five million, seven hundred forty-one thousand, four hundred forty-five".

Divisors: 1 5 17 85 101 109 113 505 545 565 1717 1853 1921 8585 9265 9605 11009 11413 12317 55045 57065 61585 187153 194021 209389 935765 970105 1046945 1244017 6220085 21148289 105741445