Search a number
-
+
106459797 = 317331233
BaseRepresentation
bin1100101100001…
…11001010010101
321102022201101110
412112013022111
5204223203142
614321445233
72431615263
oct626071225
9242281343
10106459797
1155103904
122b7a0819
1319095b82
14101d3433
15952d99c
hex6587295

106459797 has 32 divisors (see below), whose sum is σ = 156349440. Its totient is φ = 64366080.

The previous prime is 106459721. The next prime is 106459807. The reversal of 106459797 is 797954601.

It is a happy number.

It is not a de Polignac number, because 106459797 - 210 = 106458773 is a prime.

It is a super-2 number, since 2×1064597972 = 22667376754562418, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106459597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456793 + ... + 457025.

It is an arithmetic number, because the mean of its divisors is an integer number (4885920).

Almost surely, 2106459797 is an apocalyptic number.

106459797 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106459797 is a deficient number, since it is larger than the sum of its proper divisors (49889643).

106459797 is an equidigital number, since it uses as much as digits as its factorization.

106459797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 106459797 is about 10317.9356947017. The cubic root of 106459797 is about 473.9456532966.

The spelling of 106459797 in words is "one hundred six million, four hundred fifty-nine thousand, seven hundred ninety-seven".

Divisors: 1 3 17 31 51 93 233 289 527 699 867 1581 3961 4913 7223 8959 11883 14739 21669 26877 67337 122791 152303 202011 368373 456909 1144729 2087447 3434187 6262341 35486599 106459797