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105813731 = 2313733581
BaseRepresentation
bin1100100111010…
…01011011100011
321101002220011002
412103221123203
5204042014411
614255542215
72423254562
oct623513343
9241086132
10105813731
1154802471
122b52a96b
1318bcaa9a
14100a5bd9
15945233b
hex64e96e3

105813731 has 8 divisors (see below), whose sum is σ = 111223584. Its totient is φ = 100471360.

The previous prime is 105813713. The next prime is 105813737. The reversal of 105813731 is 137318501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-105813731 is a prime.

It is a super-2 number, since 2×1058137312 = 22393091336280722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105813694 and 105813703.

It is not an unprimeable number, because it can be changed into a prime (105813737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13640 + ... + 19941.

It is an arithmetic number, because the mean of its divisors is an integer number (13902948).

Almost surely, 2105813731 is an apocalyptic number.

105813731 is a deficient number, since it is larger than the sum of its proper divisors (5409853).

105813731 is a wasteful number, since it uses less digits than its factorization.

105813731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33741.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 105813731 is about 10286.5801411353. The cubic root of 105813731 is about 472.9849724139.

The spelling of 105813731 in words is "one hundred five million, eight hundred thirteen thousand, seven hundred thirty-one".

Divisors: 1 23 137 3151 33581 772363 4600597 105813731