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105502221 = 32111762687
BaseRepresentation
bin1100100100111…
…01011000001101
321100112001211200
412102131120031
5204002032341
614245140113
72420516436
oct622353015
9240461750
10105502221
115460a420
122b3ba639
1318b1c066
141002448d
1593dedb6
hex649d60d

105502221 has 24 divisors (see below), whose sum is σ = 176027904. Its totient is φ = 60178560.

The previous prime is 105502151. The next prime is 105502247. The reversal of 105502221 is 122205501.

It is not a de Polignac number, because 105502221 - 27 = 105502093 is a prime.

It is a super-2 number, since 2×1055022212 = 22261437271865682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105502194 and 105502203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105502121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29661 + ... + 33026.

It is an arithmetic number, because the mean of its divisors is an integer number (7334496).

Almost surely, 2105502221 is an apocalyptic number.

105502221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105502221 is a deficient number, since it is larger than the sum of its proper divisors (70525683).

105502221 is a wasteful number, since it uses less digits than its factorization.

105502221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62721 (or 62718 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105502221 is about 10271.4274081064. The cubic root of 105502221 is about 472.5203686525.

Adding to 105502221 its reverse (122205501), we get a palindrome (227707722).

The spelling of 105502221 in words is "one hundred five million, five hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 62687 188061 564183 689557 1065679 2068671 3197037 6206013 9591111 11722469 35167407 105502221