Search a number
-
+
105241525 = 5271211281
BaseRepresentation
bin1100100010111…
…01101110110101
321100000211020021
412101131232311
5203420212100
614235405141
72415352414
oct621355665
9240024207
10105241525
1154451574
122b2b37b1
1318a5a4bc
14dd9747b
15938ca1a
hex645dbb5

105241525 has 24 divisors (see below), whose sum is σ = 133437888. Its totient is φ = 82320000.

The previous prime is 105241519. The next prime is 105241529. The reversal of 105241525 is 525142501.

It is not a de Polignac number, because 105241525 - 27 = 105241397 is a prime.

It is a super-2 number, since 2×1052415252 = 22151557168651250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105241525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105241529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374385 + ... + 374665.

It is an arithmetic number, because the mean of its divisors is an integer number (5559912).

Almost surely, 2105241525 is an apocalyptic number.

It is an amenable number.

105241525 is a deficient number, since it is larger than the sum of its proper divisors (28196363).

105241525 is a wasteful number, since it uses less digits than its factorization.

105241525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 105241525 is about 10258.7292097998. The cubic root of 105241525 is about 472.1308483464.

The spelling of 105241525 in words is "one hundred five million, two hundred forty-one thousand, five hundred twenty-five".

Divisors: 1 5 25 71 211 281 355 1055 1405 1775 5275 7025 14981 19951 59291 74905 99755 296455 374525 498775 1482275 4209661 21048305 105241525