Search a number
-
+
105011001 = 3229402341
BaseRepresentation
bin1100100001001…
…01011100111001
321022121010000100
412100211130321
5203340323001
614230430013
72413402344
oct620453471
9238533010
10105011001
1154304357
122b202309
13189a95b4
14dd3745b
159344586
hex6425739

105011001 has 12 divisors (see below), whose sum is σ = 156913380. Its totient is φ = 67593120.

The previous prime is 105010993. The next prime is 105011009. The reversal of 105011001 is 100110501.

It is an interprime number because it is at equal distance from previous prime (105010993) and next prime (105011009).

It can be written as a sum of positive squares in 2 ways, for example, as 34047225 + 70963776 = 5835^2 + 8424^2 .

It is not a de Polignac number, because 105011001 - 23 = 105010993 is a prime.

It is a super-2 number, since 2×1050110012 = 22054620662044002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (105011009) 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 11 ways as a sum of consecutive naturals, for example, 200910 + ... + 201431.

It is an arithmetic number, because the mean of its divisors is an integer number (13076115).

Almost surely, 2105011001 is an apocalyptic number.

It is an amenable number.

105011001 is a deficient number, since it is larger than the sum of its proper divisors (51902379).

105011001 is a wasteful number, since it uses less digits than its factorization.

105011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402376 (or 402373 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 105011001 is about 10247.4875457353. The cubic root of 105011001 is about 471.7858734409.

Adding to 105011001 its reverse (100110501), we get a palindrome (205121502).

It can be divided in two parts, 10501 and 1001, that multiplied together give a palindrome (10511501).

The spelling of 105011001 in words is "one hundred five million, eleven thousand, one".

Divisors: 1 3 9 29 87 261 402341 1207023 3621069 11667889 35003667 105011001