Search a number
-
+
105076371 = 31712716223
BaseRepresentation
bin1100100001101…
…01011010010011
321022201102200110
412100311122103
5203344420441
614232052403
72414064051
oct620653223
9238642613
10105076371
1154349484
122b234103
1318a0028a
14dd531d1
159358b16
hex6435693

105076371 has 16 divisors (see below), whose sum is σ = 149520384. Its totient is φ = 65407104.

The previous prime is 105076333. The next prime is 105076393. The reversal of 105076371 is 173670501.

It is not a de Polignac number, because 105076371 - 211 = 105074323 is a prime.

It is a super-2 number, since 2×1050763712 = 22082087485059282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105076331) 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 15 ways as a sum of consecutive naturals, for example, 1635 + ... + 14588.

It is an arithmetic number, because the mean of its divisors is an integer number (9345024).

Almost surely, 2105076371 is an apocalyptic number.

105076371 is a deficient number, since it is larger than the sum of its proper divisors (44444013).

105076371 is a wasteful number, since it uses less digits than its factorization.

105076371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16370.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 105076371 is about 10250.6766118145. The cubic root of 105076371 is about 471.8837496791.

It can be divided in two parts, 1050 and 76371, that added together give a triangular number (77421 = T393).

The spelling of 105076371 in words is "one hundred five million, seventy-six thousand, three hundred seventy-one".

Divisors: 1 3 17 51 127 381 2159 6477 16223 48669 275791 827373 2060321 6180963 35025457 105076371