Search a number
-
+
105636601 = 722155849
BaseRepresentation
bin1100100101111…
…10001011111001
321100202220011201
412102332023321
5204020332401
614252054201
72421616300
oct622761371
9240686151
10105636601
11546a1384
122b464361
1318b68285
141005b437
159419b01
hex64be2f9

105636601 has 6 divisors (see below), whose sum is σ = 122883450. Its totient is φ = 90545616.

The previous prime is 105636593. The next prime is 105636617. The reversal of 105636601 is 106636501.

It can be written as a sum of positive squares in only one way, i.e., 85377600 + 20259001 = 9240^2 + 4501^2 .

It is not a de Polignac number, because 105636601 - 23 = 105636593 is a prime.

It is a super-2 number, since 2×1056366012 = 22318182941666402, which contains 22 as substring.

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 105636601.

It is not an unprimeable number, because it can be changed into a prime (105636101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1077876 + ... + 1077973.

It is an arithmetic number, because the mean of its divisors is an integer number (20480575).

Almost surely, 2105636601 is an apocalyptic number.

It is an amenable number.

105636601 is a deficient number, since it is larger than the sum of its proper divisors (17246849).

105636601 is an equidigital number, since it uses as much as digits as its factorization.

105636601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155863 (or 2155856 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 105636601 is about 10277.9667736377. The cubic root of 105636601 is about 472.7209026520.

The spelling of 105636601 in words is "one hundred five million, six hundred thirty-six thousand, six hundred one".

Divisors: 1 7 49 2155849 15090943 105636601