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106411279 = 1317598161
BaseRepresentation
bin1100101011110…
…11010100001111
321102020020211111
412111323110033
5204220130104
614320432451
72431323652
oct625732417
9242206744
10106411279
1155080407
122b778727
1319079a70
14101bd899
15951e404
hex657b50f

106411279 has 16 divisors (see below), whose sum is σ = 123409440. Its totient is φ = 90869760.

The previous prime is 106411273. The next prime is 106411301. The reversal of 106411279 is 972114601.

It is not a de Polignac number, because 106411279 - 211 = 106409231 is a prime.

It is a super-2 number, since 2×1064112792 = 22646720596831682, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106411279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106411273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8959 + ... + 17119.

It is an arithmetic number, because the mean of its divisors is an integer number (7713090).

Almost surely, 2106411279 is an apocalyptic number.

106411279 is a deficient number, since it is larger than the sum of its proper divisors (16998161).

106411279 is a wasteful number, since it uses less digits than its factorization.

106411279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8250.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 106411279 is about 10315.5842781686. The cubic root of 106411279 is about 473.8736436743.

The spelling of 106411279 in words is "one hundred six million, four hundred eleven thousand, two hundred seventy-nine".

Divisors: 1 13 17 59 221 767 1003 8161 13039 106093 138737 481499 1803581 6259487 8185483 106411279