Search a number
-
+
105101531 = 177384691
BaseRepresentation
bin1100100001110…
…11100011011011
321022202201012022
412100323203123
5203401222111
614232405055
72414230313
oct620734333
9238681168
10105101531
1154366377
122b24678b
1318a0b872
14dd5c443
1593612db
hex643b8db

105101531 has 8 divisors (see below), whose sum is σ = 112809744. Its totient is φ = 97562880.

The previous prime is 105101527. The next prime is 105101533. The reversal of 105101531 is 135101501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105101531 - 22 = 105101527 is a prime.

It is a super-2 number, since 2×1051015312 = 22092663637087922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105101533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41105 + ... + 43586.

It is an arithmetic number, because the mean of its divisors is an integer number (14101218).

Almost surely, 2105101531 is an apocalyptic number.

105101531 is a deficient number, since it is larger than the sum of its proper divisors (7708213).

105101531 is an equidigital number, since it uses as much as digits as its factorization.

105101531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84781.

The product of its (nonzero) digits is 75, while the sum is 17.

The square root of 105101531 is about 10251.9037744216. The cubic root of 105101531 is about 471.9214100575.

The spelling of 105101531 in words is "one hundred five million, one hundred one thousand, five hundred thirty-one".

Divisors: 1 17 73 1241 84691 1439747 6182443 105101531