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106054021404 = 22327194097281
BaseRepresentation
bin110001011000101001…
…1111111000100011100
3101010202002100111100200
41202301103333010130
53214144312141104
6120415345423500
710443055210452
oct1426123770434
9333662314320
10106054021404
1140a82803a81
121867933ab90
13a001b41126
1451c10d29d2
152b5a993b39
hex18b14ff11c

106054021404 has 36 divisors (see below), whose sum is σ = 268453916640. Its totient is φ = 35302164480.

The previous prime is 106054021309. The next prime is 106054021417. The reversal of 106054021404 is 404120450601.

106054021404 is a `hidden beast` number, since 1 + 0 + 60 + 540 + 21 + 40 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1060540214042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2022757 + ... + 2074524.

It is an arithmetic number, because the mean of its divisors is an integer number (7457053240).

Almost surely, 2106054021404 is an apocalyptic number.

It is an amenable number.

106054021404 is an abundant number, since it is smaller than the sum of its proper divisors (162399895236).

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

106054021404 is a wasteful number, since it uses less digits than its factorization.

106054021404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098010 (or 4098005 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 106054021404 in words is "one hundred six billion, fifty-four million, twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 719 1438 2157 2876 4314 6471 8628 12942 25884 4097281 8194562 12291843 16389124 24583686 36875529 49167372 73751058 147502116 2945945039 5891890078 8837835117 11783780156 17675670234 26513505351 35351340468 53027010702 106054021404