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106035216 = 2437245083
BaseRepresentation
bin1100101000111…
…11100000010000
321101112010222020
412110133200100
5204121111331
614304411440
72425166400
oct624374020
9241463866
10106035216
1154943911
122b616b80
1318c77841
1410122800
159497c96
hex651f810

106035216 has 60 divisors (see below), whose sum is σ = 318653712. Its totient is φ = 30295104.

The previous prime is 106035211. The next prime is 106035247. The reversal of 106035216 is 612530601.

It is a super-2 number, since 2×1060352162 = 22486934064333312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106035211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20190 + ... + 24893.

Almost surely, 2106035216 is an apocalyptic number.

106035216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106035216 is an abundant number, since it is smaller than the sum of its proper divisors (212618496).

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

106035216 is a wasteful number, since it uses less digits than its factorization.

106035216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45108 (or 45095 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106035216 is about 10297.3402391103. The cubic root of 106035216 is about 473.3147533980.

Adding to 106035216 its reverse (612530601), we get a palindrome (718565817).

The spelling of 106035216 in words is "one hundred six million, thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 45083 90166 135249 180332 270498 315581 360664 540996 631162 721328 946743 1081992 1262324 1893486 2163984 2209067 2524648 3786972 4418134 5049296 6627201 7573944 8836268 13254402 15147888 17672536 26508804 35345072 53017608 106035216