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106661124 = 2234329201
BaseRepresentation
bin1100101101110…
…00010100000100
321102200221120000
412112320110010
5204301123444
614330041300
72433414243
oct626702404
9242627500
10106661124
1155231099
122b879230
13191366bb
141024695a
15956d469
hex65b8504

106661124 has 30 divisors (see below), whose sum is σ = 278834094. Its totient is φ = 35553600.

The previous prime is 106661089. The next prime is 106661153. The reversal of 106661124 is 421166601.

It can be written as a sum of positive squares in only one way, i.e., 98366724 + 8294400 = 9918^2 + 2880^2 .

It is a super-2 number, since 2×1066611242 = 22753190745886752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 164277 + ... + 164924.

Almost surely, 2106661124 is an apocalyptic number.

It is an amenable number.

106661124 is an abundant number, since it is smaller than the sum of its proper divisors (172172970).

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

106661124 is a wasteful number, since it uses less digits than its factorization.

106661124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329217 (or 329206 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106661124 is about 10327.6872532044. The cubic root of 106661124 is about 474.2442260089.

The spelling of 106661124 in words is "one hundred six million, six hundred sixty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 329201 658402 987603 1316804 1975206 2962809 3950412 5925618 8888427 11851236 17776854 26665281 35553708 53330562 106661124