Search a number
-
+
105457455050 = 2524151442661
BaseRepresentation
bin110001000110111000…
…0010000111111001010
3101002012111210210011112
41202031300100333022
53211434102030200
6120240235130322
710422222402113
oct1421560207712
9332174723145
10105457455050
11407a6a90932
12185315a39a2
139c3837839c
145165ba120a
152b23403535
hex188dc10fca

105457455050 has 24 divisors (see below), whose sum is σ = 200935037772. Its totient is φ = 41154128000.

The previous prime is 105457455031. The next prime is 105457455073. The reversal of 105457455050 is 50554754501.

It can be written as a sum of positive squares in 6 ways, for example, as 12291491689 + 93165963361 = 110867^2 + 305231^2 .

It is a super-2 number, since 2×1054574550502 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 105457454989 and 105457455007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25719281 + ... + 25723380.

Almost surely, 2105457455050 is an apocalyptic number.

105457455050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105457455050 is a deficient number, since it is larger than the sum of its proper divisors (95477582722).

105457455050 is a wasteful number, since it uses less digits than its factorization.

105457455050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51442714 (or 51442709 counting only the distinct ones).

The product of its (nonzero) digits is 350000, while the sum is 41.

The spelling of 105457455050 in words is "one hundred five billion, four hundred fifty-seven million, four hundred fifty-five thousand, fifty".

Divisors: 1 2 5 10 25 41 50 82 205 410 1025 2050 51442661 102885322 257213305 514426610 1286066525 2109149101 2572133050 4218298202 10545745505 21091491010 52728727525 105457455050