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105104144 = 246569009
BaseRepresentation
bin1100100001111…
…00001100010000
321022202211210002
412100330030100
5203401313034
614232425132
72414241035
oct620741420
9238684702
10105104144
1154368332
122b2481a8
1318a0cb02
14dd5d38c
159361e7e
hex643c310

105104144 has 10 divisors (see below), whose sum is σ = 203639310. Its totient is φ = 52552064.

The previous prime is 105104123. The next prime is 105104171. The reversal of 105104144 is 441401501.

It can be written as a sum of positive squares in only one way, i.e., 98406400 + 6697744 = 9920^2 + 2588^2 .

It is a super-2 number, since 2×1051041442 = 22093762171945472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3284489 + ... + 3284520.

It is an arithmetic number, because the mean of its divisors is an integer number (20363931).

Almost surely, 2105104144 is an apocalyptic number.

It is an amenable number.

105104144 is a deficient number, since it is larger than the sum of its proper divisors (98535166).

105104144 is an equidigital number, since it uses as much as digits as its factorization.

105104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569017 (or 6569011 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 105104144 is about 10252.0312133743. The cubic root of 105104144 is about 471.9253209438.

Adding to 105104144 its reverse (441401501), we get a palindrome (546505645).

The spelling of 105104144 in words is "one hundred five million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 6569009 13138018 26276036 52552072 105104144