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105322830 = 23513732557
BaseRepresentation
bin1100100011100…
…01100101001110
321100011221202120
412101301211032
5203430312310
614241233410
72416141434
oct621614516
9240157676
10105322830
11544a7668
122b332866
1318a88502
14ddb8d54
1593a6b70
hex647194e

105322830 has 32 divisors (see below), whose sum is σ = 253057824. Its totient is φ = 28054656.

The previous prime is 105322823. The next prime is 105322843. The reversal of 105322830 is 38223501.

It is a super-2 number, since 2×1053228302 = 22185797038417800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105322830.

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 15 ways as a sum of consecutive naturals, for example, 39912 + ... + 42468.

It is an arithmetic number, because the mean of its divisors is an integer number (7908057).

Almost surely, 2105322830 is an apocalyptic number.

105322830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105322830 is an abundant number, since it is smaller than the sum of its proper divisors (147734994).

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

105322830 is a wasteful number, since it uses less digits than its factorization.

105322830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105322830 is about 10262.6911675252. The cubic root of 105322830 is about 472.2523995991.

The spelling of 105322830 in words is "one hundred five million, three hundred twenty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1373 2557 2746 4119 5114 6865 7671 8238 12785 13730 15342 20595 25570 38355 41190 76710 3510761 7021522 10532283 17553805 21064566 35107610 52661415 105322830