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105444120 = 23357312037
BaseRepresentation
bin1100100100011…
…11001100011000
321100102010010210
412102033030120
5203443202440
614244011120
72420155155
oct622171430
9240363123
10105444120
115457a801
122b390aa0
1318acb792
141000b22c
1593cca80
hex648f318

105444120 has 64 divisors (see below), whose sum is σ = 320692320. Its totient is φ = 27730944.

The previous prime is 105444109. The next prime is 105444139. The reversal of 105444120 is 21444501.

It is a happy number.

It is a super-2 number, since 2×1054441202 = 22236924885148800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2742 + ... + 14778.

Almost surely, 2105444120 is an apocalyptic number.

105444120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160346160).

105444120 is an abundant number, since it is smaller than the sum of its proper divisors (215248200).

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

105444120 is a wasteful number, since it uses less digits than its factorization.

105444120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12124 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 105444120 is about 10268.5987359522. The cubic root of 105444120 is about 472.4336123519.

Adding to 105444120 its reverse (21444501), we get a palindrome (126888621).

The spelling of 105444120 in words is "one hundred five million, four hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 12037 24074 36111 48148 60185 72222 96296 120370 144444 180555 240740 288888 361110 481480 722220 878701 1444440 1757402 2636103 3514804 4393505 5272206 7029608 8787010 10544412 13180515 17574020 21088824 26361030 35148040 52722060 105444120