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105225252 = 22311797161
BaseRepresentation
bin1100100010110…
…01110000100100
321022222222220120
412101121300210
5203414202002
614235201540
72415254106
oct621316044
9238888816
10105225252
1154440320
122b2a62b0
1318a52c82
14dd91576
159387cbc
hex6459c24

105225252 has 24 divisors (see below), whose sum is σ = 267846432. Its totient is φ = 31886400.

The previous prime is 105225233. The next prime is 105225259. The reversal of 105225252 is 252522501.

It is a super-2 number, since 2×1052252522 = 22144707316927008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105225259) 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 7 ways as a sum of consecutive naturals, for example, 398449 + ... + 398712.

It is an arithmetic number, because the mean of its divisors is an integer number (11160268).

Almost surely, 2105225252 is an apocalyptic number.

105225252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105225252 is an abundant number, since it is smaller than the sum of its proper divisors (162621180).

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

105225252 is a wasteful number, since it uses less digits than its factorization.

105225252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797179 (or 797177 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 105225252 is about 10257.9360497129. The cubic root of 105225252 is about 472.1065126376.

Adding to 105225252 its reverse (252522501), we get a palindrome (357747753).

The spelling of 105225252 in words is "one hundred five million, two hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 797161 1594322 2391483 3188644 4782966 8768771 9565932 17537542 26306313 35075084 52612626 105225252