Search a number
-
+
105930537 = 3281125659
BaseRepresentation
bin1100101000001…
…01111100101001
321101022211101020
412110011330221
5204104234122
614302243053
72424252246
oct624057451
9241284336
10105930537
11548821a9
122b586489
1318c3bcbb
14100d65cd
159476c5c
hex6505f29

105930537 has 8 divisors (see below), whose sum is σ = 141744480. Its totient is φ = 70368480.

The previous prime is 105930521. The next prime is 105930557. The reversal of 105930537 is 735039501.

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

It is not a de Polignac number, because 105930537 - 24 = 105930521 is a prime.

It is a super-2 number, since 2×1059305372 = 22442557338216738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105930498 and 105930507.

It is not an unprimeable number, because it can be changed into a prime (105930557) 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 7 ways as a sum of consecutive naturals, for example, 61987 + ... + 63672.

It is an arithmetic number, because the mean of its divisors is an integer number (17718060).

Almost surely, 2105930537 is an apocalyptic number.

It is an amenable number.

105930537 is a deficient number, since it is larger than the sum of its proper divisors (35813943).

105930537 is a wasteful number, since it uses less digits than its factorization.

105930537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125943.

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 105930537 is about 10292.2561666527. The cubic root of 105930537 is about 473.1589484682.

The spelling of 105930537 in words is "one hundred five million, nine hundred thirty thousand, five hundred thirty-seven".

Divisors: 1 3 281 843 125659 376977 35310179 105930537