Search a number
-
+
106115009 = 71113227467
BaseRepresentation
bin1100101001100…
…10111111000001
321101200012102112
412110302333001
5204131140014
614310225105
72425651130
oct624627701
9241605375
10106115009
1154998860
122b655195
1318ca4c60
1410143917
1594b173e
hex6532fc1

106115009 has 32 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 75827520.

The previous prime is 106114997. The next prime is 106115021. The reversal of 106115009 is 900511601.

It is an interprime number because it is at equal distance from previous prime (106114997) and next prime (106115021).

It is a cyclic number.

It is not a de Polignac number, because 106115009 - 216 = 106049473 is a prime.

It is a super-2 number, since 2×1061150092 = 22520790270140162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106115039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226994 + ... + 227460.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2106115009 is an apocalyptic number.

It is an amenable number.

106115009 is a deficient number, since it is larger than the sum of its proper divisors (37295167).

106115009 is a wasteful number, since it uses less digits than its factorization.

106115009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725.

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 106115009 is about 10301.2139575877. The cubic root of 106115009 is about 473.4334489787.

The spelling of 106115009 in words is "one hundred six million, one hundred fifteen thousand, nine".

Divisors: 1 7 11 13 77 91 143 227 467 1001 1589 2497 2951 3269 5137 6071 17479 20657 32461 35959 42497 66781 106009 227227 467467 742063 1166099 1378117 8162693 9646819 15159287 106115009