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106199841 = 3116152757
BaseRepresentation
bin1100101010001…
…11101100100001
321101211111210110
412111013230201
5204141343331
614312121533
72426453346
oct625075441
9241744713
10106199841
1154a46570
122b6962a9
1319004757
14101667cd
1594cb946
hex6547b21

106199841 has 16 divisors (see below), whose sum is σ = 157007808. Its totient is φ = 63307200.

The previous prime is 106199839. The next prime is 106199843. The reversal of 106199841 is 148991601.

It is an interprime number because it is at equal distance from previous prime (106199839) and next prime (106199843).

It is not a de Polignac number, because 106199841 - 21 = 106199839 is a prime.

It is a super-2 number, since 2×1061998412 = 22556812456850562, 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 106199841.

It is not an unprimeable number, because it can be changed into a prime (106199843) 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 15 ways as a sum of consecutive naturals, for example, 24366 + ... + 28391.

It is an arithmetic number, because the mean of its divisors is an integer number (9812988).

Almost surely, 2106199841 is an apocalyptic number.

106199841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106199841 is a deficient number, since it is larger than the sum of its proper divisors (50807967).

106199841 is a wasteful number, since it uses less digits than its factorization.

106199841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52832.

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 106199841 is about 10305.3307079395. The cubic root of 106199841 is about 473.5595750536.

The spelling of 106199841 in words is "one hundred six million, one hundred ninety-nine thousand, eight hundred forty-one".

Divisors: 1 3 11 33 61 183 671 2013 52757 158271 580327 1740981 3218177 9654531 35399947 106199841