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106725983 = 71317193631
BaseRepresentation
bin1100101110010…
…00001001011111
321102211020112012
412113020021133
5204310212413
614331301435
72434104320
oct627101137
9242736465
10106725983
11552758a1
122b8aa87b
131915a090
1410262447
1595827a8
hex65c825f

106725983 has 32 divisors (see below), whose sum is σ = 146442240. Its totient is φ = 75271680.

The previous prime is 106725979. The next prime is 106725989. The reversal of 106725983 is 389527601.

It is a cyclic number.

It is not a de Polignac number, because 106725983 - 22 = 106725979 is a prime.

It is a super-2 number, since 2×1067259832 = 22780870894632578, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106725983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106725989) 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, 27578 + ... + 31208.

It is an arithmetic number, because the mean of its divisors is an integer number (4576320).

Almost surely, 2106725983 is an apocalyptic number.

106725983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106725983 is a deficient number, since it is larger than the sum of its proper divisors (39716257).

106725983 is a wasteful number, since it uses less digits than its factorization.

106725983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 106725983 is about 10330.8268304139. The cubic root of 106725983 is about 474.3403334206.

The spelling of 106725983 in words is "one hundred six million, seven hundred twenty-five thousand, nine hundred eighty-three".

Divisors: 1 7 13 17 19 91 119 133 221 247 323 1547 1729 2261 3631 4199 25417 29393 47203 61727 68989 330421 432089 482923 802451 896857 1172813 5617157 6277999 8209691 15246569 106725983