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106358241 = 31131103967
BaseRepresentation
bin1100101011011…
…10010111100001
321102010120002010
412111232113201
5204211430431
614315343133
72431013223
oct625562741
9242116063
10106358241
1155044580
122b751aa9
131905b892
14101a8413
15950d846
hex656e5e1

106358241 has 16 divisors (see below), whose sum is σ = 159694848. Its totient is φ = 62379600.

The previous prime is 106358191. The next prime is 106358251. The reversal of 106358241 is 142853601.

It is not a de Polignac number, because 106358241 - 26 = 106358177 is a prime.

It is a super-3 number, since 3×1063582413 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106358199 and 106358208.

It is not an unprimeable number, because it can be changed into a prime (106358251) 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, 50961 + ... + 53006.

It is an arithmetic number, because the mean of its divisors is an integer number (9980928).

Almost surely, 2106358241 is an apocalyptic number.

106358241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106358241 is a deficient number, since it is larger than the sum of its proper divisors (53336607).

106358241 is a wasteful number, since it uses less digits than its factorization.

106358241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104012.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106358241 is about 10313.0131872310. The cubic root of 106358241 is about 473.7949004953.

The spelling of 106358241 in words is "one hundred six million, three hundred fifty-eight thousand, two hundred forty-one".

Divisors: 1 3 11 31 33 93 341 1023 103967 311901 1143637 3222977 3430911 9668931 35452747 106358241