Search a number
-
+
105615497 = 1310937433
BaseRepresentation
bin1100100101110…
…01000010001001
321100201211020002
412102321002021
5204014143442
614251412345
72421500621
oct622710211
9240654202
10105615497
1154687539
122b4540b5
1318b5b7a0
1410053881
159413732
hex64b9089

105615497 has 8 divisors (see below), whose sum is σ = 113859144. Its totient is φ = 97388928.

The previous prime is 105615493. The next prime is 105615511. The reversal of 105615497 is 794516501.

It can be written as a sum of positive squares in 4 ways, for example, as 6990736 + 98624761 = 2644^2 + 9931^2 .

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

It is not a de Polignac number, because 105615497 - 22 = 105615493 is a prime.

It is a super-2 number, since 2×1056154972 = 22309266413114018, 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 105615497.

It is not an unprimeable number, because it can be changed into a prime (105615493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10493 + ... + 17925.

It is an arithmetic number, because the mean of its divisors is an integer number (14232393).

Almost surely, 2105615497 is an apocalyptic number.

It is an amenable number.

105615497 is a deficient number, since it is larger than the sum of its proper divisors (8243647).

105615497 is a wasteful number, since it uses less digits than its factorization.

105615497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8539.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 105615497 is about 10276.9400601541. The cubic root of 105615497 is about 472.6894206143.

The spelling of 105615497 in words is "one hundred five million, six hundred fifteen thousand, four hundred ninety-seven".

Divisors: 1 13 1093 7433 14209 96629 8124269 105615497