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105313432 = 2371880597
BaseRepresentation
bin1100100011011…
…11010010011000
321100011110212111
412101233102120
5203430012212
614241122104
72416102150
oct621572230
9240143774
10105313432
11544a05a4
122b329334
1318a84153
14ddb5760
1593a3ea7
hex646f498

105313432 has 16 divisors (see below), whose sum is σ = 225671760. Its totient is φ = 45134304.

The previous prime is 105313421. The next prime is 105313457. The reversal of 105313432 is 234313501.

It is a super-2 number, since 2×1053134322 = 22181837919237248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 940243 + ... + 940354.

It is an arithmetic number, because the mean of its divisors is an integer number (14104485).

Almost surely, 2105313432 is an apocalyptic number.

It is an amenable number.

105313432 is an abundant number, since it is smaller than the sum of its proper divisors (120358328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105313432 is a wasteful number, since it uses less digits than its factorization.

105313432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880610 (or 1880606 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 105313432 is about 10262.2332852065. The cubic root of 105313432 is about 472.2383527552.

Adding to 105313432 its reverse (234313501), we get a palindrome (339626933).

The spelling of 105313432 in words is "one hundred five million, three hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 1880597 3761194 7522388 13164179 15044776 26328358 52656716 105313432