Search a number
-
+
105912337 = 3110133827
BaseRepresentation
bin1100101000000…
…01100000010001
321101021220102011
412110001200101
5204103143322
614302022521
72424145216
oct624014021
9241256364
10105912337
115486a563
122b577a41
1318c3392b
14100cdb0d
159471677
hex6501811

105912337 has 8 divisors (see below), whose sum is σ = 110414592. Its totient is φ = 101478000.

The previous prime is 105912319. The next prime is 105912353. The reversal of 105912337 is 733219501.

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 105912337 - 215 = 105879569 is a prime.

It is a super-2 number, since 2×1059123372 = 22434846257603138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105912299 and 105912308.

It is not an unprimeable number, because it can be changed into a prime (105912637) 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, 13783 + ... + 20044.

It is an arithmetic number, because the mean of its divisors is an integer number (13801824).

Almost surely, 2105912337 is an apocalyptic number.

It is an amenable number.

105912337 is a deficient number, since it is larger than the sum of its proper divisors (4502255).

105912337 is a wasteful number, since it uses less digits than its factorization.

105912337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33959.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 105912337 is about 10291.3719687902. The cubic root of 105912337 is about 473.1318489923.

The spelling of 105912337 in words is "one hundred five million, nine hundred twelve thousand, three hundred thirty-seven".

Divisors: 1 31 101 3131 33827 1048637 3416527 105912337