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105120551304 = 2334162223073
BaseRepresentation
bin110000111100110101…
…1000101000110001000
3101001100000212022010000
41201321223011012020
53210241330120204
6120143002123000
710410661641336
oct1417153050610
9331300768100
10105120551304
11406438a108a
12184587b0460
139bb3629162
145133142b56
152b03a55039
hex1879ac5188

105120551304 has 40 divisors (see below), whose sum is σ = 294434879310. Its totient is φ = 35040183552.

The previous prime is 105120551303. The next prime is 105120551309. The reversal of 105120551304 is 403155021501.

105120551304 is a `hidden beast` number, since 10 + 51 + 20 + 551 + 30 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91326048804 + 13794502500 = 302202^2 + 117450^2 .

It is a super-2 number, since 2×1051205513042 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105120551303) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81110889 + ... + 81112184.

Almost surely, 2105120551304 is an apocalyptic number.

It is an amenable number.

105120551304 is an abundant number, since it is smaller than the sum of its proper divisors (189314328006).

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

105120551304 is a wasteful number, since it uses less digits than its factorization.

105120551304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162223091 (or 162223078 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 105120551304 its reverse (403155021501), we get a palindrome (508275572805).

The spelling of 105120551304 in words is "one hundred five billion, one hundred twenty million, five hundred fifty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 162223073 324446146 486669219 648892292 973338438 1297784584 1460007657 1946676876 2920015314 3893353752 4380022971 5840030628 8760045942 11680061256 13140068913 17520091884 26280137826 35040183768 52560275652 105120551304