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105450230004 = 223711531088777
BaseRepresentation
bin110001000110101010…
…0101101000011110100
3101002012000012201021020
41202031110231003310
53211430224330004
6120235420221140
710422104110620
oct1421524550364
9332160181236
10105450230004
11407a29a6619
121852b09a7b0
139c36a18902
145164c40180
152b229778d9
hex188d52d0f4

105450230004 has 48 divisors (see below), whose sum is σ = 281444757888. Its totient is φ = 30102478848.

The previous prime is 105450229999. The next prime is 105450230051. The reversal of 105450230004 is 400032054501.

It is a super-2 number, since 2×1054502300042 (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447537 + ... + 641240.

It is an arithmetic number, because the mean of its divisors is an integer number (5863432456).

Almost surely, 2105450230004 is an apocalyptic number.

105450230004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105450230004 is an abundant number, since it is smaller than the sum of its proper divisors (175994527884).

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

105450230004 is a wasteful number, since it uses less digits than its factorization.

105450230004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089944 (or 1089942 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 105450230004 its reverse (400032054501), we get a palindrome (505482284505).

The spelling of 105450230004 in words is "one hundred five billion, four hundred fifty million, two hundred thirty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1153 2306 3459 4612 6918 8071 13836 16142 24213 32284 48426 96852 1088777 2177554 3266331 4355108 6532662 7621439 13065324 15242878 22864317 30485756 45728634 91457268 1255359881 2510719762 3766079643 5021439524 7532159286 8787519167 15064318572 17575038334 26362557501 35150076668 52725115002 105450230004