Search a number
-
+
105740895 = 3513542261
BaseRepresentation
bin1100100110101…
…11101001011111
321100222012020110
412103113221133
5204032202040
614254221103
72422532331
oct623275137
9240865213
10105740895
1154762777
122b4b4793
1318ba38a0
1410087451
15943a980
hex64d7a5f

105740895 has 16 divisors (see below), whose sum is σ = 182200032. Its totient is φ = 52056960.

The previous prime is 105740891. The next prime is 105740903. The reversal of 105740895 is 598047501.

It is not a de Polignac number, because 105740895 - 22 = 105740891 is a prime.

It is a super-2 number, since 2×1057408952 = 22362273750802050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105740891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270936 + ... + 271325.

It is an arithmetic number, because the mean of its divisors is an integer number (11387502).

Almost surely, 2105740895 is an apocalyptic number.

105740895 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105740895 is a deficient number, since it is larger than the sum of its proper divisors (76459137).

105740895 is a wasteful number, since it uses less digits than its factorization.

105740895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542282.

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 105740895 is about 10283.0391908229. The cubic root of 105740895 is about 472.8764224154.

The spelling of 105740895 in words is "one hundred five million, seven hundred forty thousand, eight hundred ninety-five".

Divisors: 1 3 5 13 15 39 65 195 542261 1626783 2711305 7049393 8133915 21148179 35246965 105740895