Search a number
-
+
105020847 = 3319204719
BaseRepresentation
bin1100100001001…
…11110110101111
321022121121112000
412100213312233
5203341131342
614230543343
72413443141
oct620476657
9238547460
10105020847
1154310798
122b207b53
13189b0c19
14dd3ac91
15934744c
hex6427daf

105020847 has 16 divisors (see below), whose sum is σ = 163776000. Its totient is φ = 66328632.

The previous prime is 105020843. The next prime is 105020933. The reversal of 105020847 is 748020501.

It is not a de Polignac number, because 105020847 - 22 = 105020843 is a prime.

It is a super-2 number, since 2×1050208472 = 22058756609194818, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105020847.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105020843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101847 + ... + 102872.

It is an arithmetic number, because the mean of its divisors is an integer number (10236000).

Almost surely, 2105020847 is an apocalyptic number.

105020847 is a deficient number, since it is larger than the sum of its proper divisors (58755153).

105020847 is a wasteful number, since it uses less digits than its factorization.

105020847 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204747 (or 204741 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105020847 is about 10247.9679449147. The cubic root of 105020847 is about 471.8006181136.

The spelling of 105020847 in words is "one hundred five million, twenty thousand, eight hundred forty-seven".

Divisors: 1 3 9 19 27 57 171 513 204719 614157 1842471 3889661 5527413 11668983 35006949 105020847