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105444216 = 23321464503
BaseRepresentation
bin1100100100011…
…11001101111000
321100102010021100
412102033031320
5203443203331
614244011400
72420155353
oct622171570
9240363240
10105444216
115457a889
122b390b60
1318acb837
141000b29a
1593ccae6
hex648f378

105444216 has 24 divisors (see below), whose sum is σ = 285578280. Its totient is φ = 35148048.

The previous prime is 105444179. The next prime is 105444221. The reversal of 105444216 is 612444501.

105444216 is a `hidden beast` number, since 1 + 0 + 5 + 444 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1054442162 = 22236965375709312, 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 105444216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 732180 + ... + 732323.

It is an arithmetic number, because the mean of its divisors is an integer number (11899095).

Almost surely, 2105444216 is an apocalyptic number.

It is an amenable number.

105444216 is an abundant number, since it is smaller than the sum of its proper divisors (180134064).

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

105444216 is a wasteful number, since it uses less digits than its factorization.

105444216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464515 (or 1464508 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 105444216 is about 10268.6034103962. The cubic root of 105444216 is about 472.4337557252.

Adding to 105444216 its reverse (612444501), we get a palindrome (717888717).

The spelling of 105444216 in words is "one hundred five million, four hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1464503 2929006 4393509 5858012 8787018 11716024 13180527 17574036 26361054 35148072 52722108 105444216