Search a number
-
+
106069401 = 3234332
BaseRepresentation
bin1100101001001…
…11110110011001
321101120212212100
412110213312121
5204123210101
614305234013
72425401144
oct624476631
9241525770
10106069401
1154967569
122b632909
1318c8a279
141013105b
1594a2e86
hex6527d99

106069401 has 9 divisors (see below), whose sum is σ = 153255999. Its totient is φ = 70692336.

The previous prime is 106069393. The next prime is 106069451. The reversal of 106069401 is 104960601.

The square root of 106069401 is 10299.

It is a perfect power (a square), and thus also a powerful number.

106069401 is a `hidden beast` number, since 10 + 606 + 9 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35105625 + 70963776 = 5925^2 + 8424^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 106069401 - 23 = 106069393 is a prime.

It is a super-2 number, since 2×1060694012 = 22501435656997602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106069451) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29181 + ... + 32613.

Almost surely, 2106069401 is an apocalyptic number.

106069401 is the 10299-th square number.

106069401 is the 5150-th centered octagonal number.

It is an amenable number.

106069401 is a deficient number, since it is larger than the sum of its proper divisors (47186598).

106069401 is an frugal number, since it uses more digits than its factorization.

106069401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 106069401 is about 473.3656123703.

Multiplying 106069401 by its product of nonzero digits (1296), we get a square (137465943696 = 3707642).

The spelling of 106069401 in words is "one hundred six million, sixty-nine thousand, four hundred one".

Divisors: 1 3 9 3433 10299 30897 11785489 35356467 106069401