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105012216 = 23323739419
BaseRepresentation
bin1100100001001…
…01101111111000
321022121011200100
412100211233320
5203340342331
614230435400
72413406031
oct620455770
9238534610
10105012216
1154305261
122b202b60
13189aa00a
14dd37a88
159344ae6
hex6425bf8

105012216 has 48 divisors (see below), whose sum is σ = 292102200. Its totient is φ = 34057152.

The previous prime is 105012209. The next prime is 105012217. The reversal of 105012216 is 612210501.

It is a super-2 number, since 2×1050122162 = 22055131018461312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105012217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17046 + ... + 22373.

Almost surely, 2105012216 is an apocalyptic number.

It is an amenable number.

105012216 is an abundant number, since it is smaller than the sum of its proper divisors (187089984).

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

105012216 is a wasteful number, since it uses less digits than its factorization.

105012216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39468 (or 39461 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105012216 is about 10247.5468283878. The cubic root of 105012216 is about 471.7876929887.

Adding to 105012216 its reverse (612210501), we get a palindrome (717222717).

The spelling of 105012216 in words is "one hundred five million, twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 39419 78838 118257 157676 236514 315352 354771 473028 709542 946056 1419084 1458503 2838168 2917006 4375509 5834012 8751018 11668024 13126527 17502036 26253054 35004072 52506108 105012216