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105979341 = 31312721397
BaseRepresentation
bin1100101000100…
…01110111001101
321101102022022210
412110101313031
5204112314331
614303301033
72424544446
oct624216715
9241368283
10105979341
1154905936
122b5aa779
1318c58290
141010a2cd
159486446
hex6511dcd

105979341 has 16 divisors (see below), whose sum is σ = 153380864. Its totient is φ = 64701504.

The previous prime is 105979337. The next prime is 105979373. The reversal of 105979341 is 143979501.

It is a happy number.

It is not a de Polignac number, because 105979341 - 22 = 105979337 is a prime.

It is a super-2 number, since 2×1059793412 = 22463241437588562, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105979341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105979381) 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, 5746 + ... + 15651.

It is an arithmetic number, because the mean of its divisors is an integer number (9586304).

Almost surely, 2105979341 is an apocalyptic number.

It is an amenable number.

105979341 is a deficient number, since it is larger than the sum of its proper divisors (47401523).

105979341 is a wasteful number, since it uses less digits than its factorization.

105979341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21540.

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 105979341 is about 10294.6268023664. The cubic root of 105979341 is about 473.2316014367.

The spelling of 105979341 in words is "one hundred five million, nine hundred seventy-nine thousand, three hundred forty-one".

Divisors: 1 3 13 39 127 381 1651 4953 21397 64191 278161 834483 2717419 8152257 35326447 105979341