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106413241 = 1153349523
BaseRepresentation
bin1100101011110…
…11110010111001
321102020100112011
412111323302321
5204220210431
614320445521
72431332454
oct625736271
9242210464
10106413241
1155081930
122b7798a1
131907a91c
14101c049b
15951ecb1
hex657bcb9

106413241 has 16 divisors (see below), whose sum is σ = 118843200. Its totient is φ = 94461120.

The previous prime is 106413233. The next prime is 106413253. The reversal of 106413241 is 142314601.

It is a cyclic number.

It is not a de Polignac number, because 106413241 - 23 = 106413233 is a prime.

It is a super-2 number, since 2×1064132412 = 22647555720248162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106413271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203206 + ... + 203728.

It is an arithmetic number, because the mean of its divisors is an integer number (7427700).

Almost surely, 2106413241 is an apocalyptic number.

106413241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106413241 is a deficient number, since it is larger than the sum of its proper divisors (12429959).

106413241 is a wasteful number, since it uses less digits than its factorization.

106413241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 106413241 is about 10315.6793765607. The cubic root of 106413241 is about 473.8765560672.

Adding to 106413241 its reverse (142314601), we get a palindrome (248727842).

The spelling of 106413241 in words is "one hundred six million, four hundred thirteen thousand, two hundred forty-one".

Divisors: 1 11 53 349 523 583 3839 5753 18497 27719 182527 203467 304909 2007797 9673931 106413241