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106402257 = 3213412541
BaseRepresentation
bin1100101011110…
…01000111010001
321102012210110100
412111321013101
5204214333012
614320323013
72431255443
oct625710721
9242183410
10106402257
1155074655
122b773469
1319075920
14101ba493
15951b8dc
hex65791d1

106402257 has 36 divisors (see below), whose sum is σ = 169963612. Its totient is φ = 63763200.

The previous prime is 106402249. The next prime is 106402271. The reversal of 106402257 is 752204601.

106402257 is a `hidden beast` number, since 1 + 0 + 6 + 402 + 257 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 55935441 + 50466816 = 7479^2 + 7104^2 .

It is not a de Polignac number, because 106402257 - 23 = 106402249 is a prime.

It is a super-2 number, since 2×1064022572 = 22642880589388098, 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 106402257.

It is not an unprimeable number, because it can be changed into a prime (106402207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 196407 + ... + 196947.

Almost surely, 2106402257 is an apocalyptic number.

It is an amenable number.

106402257 is a deficient number, since it is larger than the sum of its proper divisors (63561355).

106402257 is a wasteful number, since it uses less digits than its factorization.

106402257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 106402257 is about 10315.1469693844. The cubic root of 106402257 is about 473.8602509560.

Adding to 106402257 its reverse (752204601), we get a palindrome (858606858).

The spelling of 106402257 in words is "one hundred six million, four hundred two thousand, two hundred fifty-seven".

Divisors: 1 3 9 13 39 41 117 123 369 533 541 1599 1623 1681 4797 4869 5043 7033 15129 21099 21853 22181 63297 65559 66543 196677 199629 288353 865059 909421 2595177 2728263 8184789 11822473 35467419 106402257