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105323946 = 23713238387
BaseRepresentation
bin1100100011100…
…01110110101010
321100012000021220
412101301312222
5203430331241
614241242510
72416144620
oct621616652
9240160256
10105323946
11544a8492
122b333436
1318a88b80
14ddb9510
1593a7166
hex6471daa

105323946 has 64 divisors (see below), whose sum is σ = 270563328. Its totient is φ = 26566848.

The previous prime is 105323927. The next prime is 105323947. The reversal of 105323946 is 649323501.

It is a super-2 number, since 2×1053239462 = 22186267202021832, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105323947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8365 + ... + 16751.

It is an arithmetic number, because the mean of its divisors is an integer number (4227552).

Almost surely, 2105323946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105323946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135281664).

105323946 is an abundant number, since it is smaller than the sum of its proper divisors (165239382).

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

105323946 is a wasteful number, since it uses less digits than its factorization.

105323946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8435.

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 105323946 is about 10262.7455390846. The cubic root of 105323946 is about 472.2540675876.

The spelling of 105323946 in words is "one hundred five million, three hundred twenty-three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 966 1794 2093 4186 6279 8387 12558 16774 25161 50322 58709 109031 117418 176127 192901 218062 327093 352254 385802 578703 654186 763217 1157406 1350307 1526434 2289651 2507713 2700614 4050921 4579302 5015426 7523139 8101842 15046278 17553991 35107982 52661973 105323946