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106001046 = 23228320809
BaseRepresentation
bin1100101000101…
…11001010010110
321101110102002200
412110113022112
5204114013141
614303545330
72424664644
oct624271226
9241412080
10106001046
1154920178
122b5bb246
1318c65118
1410114194
15948cab6
hex6517296

106001046 has 24 divisors (see below), whose sum is σ = 230491560. Its totient is φ = 35207136.

The previous prime is 106001033. The next prime is 106001053. The reversal of 106001046 is 640100601.

106001046 is a `hidden beast` number, since 10 + 600 + 10 + 46 = 666.

It is a super-2 number, since 2×1060010462 = 22472443506188232, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5311 + ... + 15498.

It is an arithmetic number, because the mean of its divisors is an integer number (9603815).

Almost surely, 2106001046 is an apocalyptic number.

106001046 is an abundant number, since it is smaller than the sum of its proper divisors (124490514).

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

106001046 is a wasteful number, since it uses less digits than its factorization.

106001046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21100 (or 21097 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106001046 is about 10295.6809391123. The cubic root of 106001046 is about 473.2639058169.

Adding to 106001046 its reverse (640100601), we get a palindrome (746101647).

The spelling of 106001046 in words is "one hundred six million, one thousand, forty-six".

Divisors: 1 2 3 6 9 18 283 566 849 1698 2547 5094 20809 41618 62427 124854 187281 374562 5888947 11777894 17666841 35333682 53000523 106001046