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105504125 = 5317131379
BaseRepresentation
bin1100100100111…
…01110101111101
321100112011110012
412102131311331
5204002113000
614245153005
72420525126
oct622356575
9240464405
10105504125
11546108a1
122b3bb765
1318b1cb9c
141002504d
1593e0735
hex649dd7d

105504125 has 32 divisors (see below), whose sum is σ = 140849280. Its totient is φ = 78624000.

The previous prime is 105504101. The next prime is 105504127. The reversal of 105504125 is 521405501.

It is a happy number.

It is not a de Polignac number, because 105504125 - 214 = 105487741 is a prime.

It is a super-2 number, since 2×1055041252 = 22262240784031250, 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 105504125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105504127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278186 + ... + 278564.

It is an arithmetic number, because the mean of its divisors is an integer number (4401540).

Almost surely, 2105504125 is an apocalyptic number.

It is an amenable number.

105504125 is a deficient number, since it is larger than the sum of its proper divisors (35345155).

105504125 is a wasteful number, since it uses less digits than its factorization.

105504125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 105504125 is about 10271.5200919825. The cubic root of 105504125 is about 472.5232111625.

Adding to 105504125 its reverse (521405501), we get a palindrome (626909626).

The spelling of 105504125 in words is "one hundred five million, five hundred four thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 131 379 425 655 1895 2125 2227 3275 6443 9475 11135 16375 32215 47375 49649 55675 161075 248245 278375 805375 844033 1241225 4220165 6206125 21100825 105504125