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105764099 = 723316521
BaseRepresentation
bin1100100110111…
…01010100000011
321101000101001212
412103131110003
5204033422344
614254520335
72422660100
oct623352403
9241011055
10105764099
1154779151
122b5060ab
1318bb130c
1410091aa7
15944279e
hex64dd503

105764099 has 12 divisors (see below), whose sum is σ = 123422328. Its totient is φ = 90367200.

The previous prime is 105764083. The next prime is 105764111. The reversal of 105764099 is 990467501.

It is not a de Polignac number, because 105764099 - 24 = 105764083 is a prime.

It is a super-2 number, since 2×1057640992 = 22372089274563602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105769099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12959 + ... + 19479.

It is an arithmetic number, because the mean of its divisors is an integer number (10285194).

Almost surely, 2105764099 is an apocalyptic number.

105764099 is a deficient number, since it is larger than the sum of its proper divisors (17658229).

105764099 is an equidigital number, since it uses as much as digits as its factorization.

105764099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6859 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 105764099 is about 10284.1673945925. The cubic root of 105764099 is about 472.9110095446.

It can be divided in two parts, 1057 and 64099, that added together give a palindrome (65156).

The spelling of 105764099 in words is "one hundred five million, seven hundred sixty-four thousand, ninety-nine".

Divisors: 1 7 49 331 2317 6521 16219 45647 319529 2158451 15109157 105764099