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106141104 = 243481899
BaseRepresentation
bin1100101001110…
…01010110110000
321101201112020000
412110321112300
5204133003404
614310550000
72426120166
oct624712660
9241645200
10106141104
1154a06423
122b668300
1318cb3ab4
141014d236
1594b9339
hex65395b0

106141104 has 50 divisors (see below), whose sum is σ = 307206900. Its totient is φ = 35379936.

The previous prime is 106141103. The next prime is 106141109. The reversal of 106141104 is 401141601.

It is a super-2 number, since 2×1061411042 = 22531867916677632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106141103) 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 9 ways as a sum of consecutive naturals, for example, 39654 + ... + 42245.

It is an arithmetic number, because the mean of its divisors is an integer number (6144138).

Almost surely, 2106141104 is an apocalyptic number.

It is an amenable number.

106141104 is an abundant number, since it is smaller than the sum of its proper divisors (201065796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106141104 is an equidigital number, since it uses as much as digits as its factorization.

106141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81919 (or 81904 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106141104 is about 10302.4804780208. The cubic root of 106141104 is about 473.4722535217.

Adding to 106141104 its reverse (401141601), we get a palindrome (507282705).

The spelling of 106141104 in words is "one hundred six million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 81899 163798 245697 327596 491394 655192 737091 982788 1310384 1474182 1965576 2211273 2948364 3931152 4422546 5896728 6633819 8845092 11793456 13267638 17690184 26535276 35380368 53070552 106141104