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105404274 = 2339720123
BaseRepresentation
bin1100100100001…
…01011101110010
321100100002111000
412102011131302
5203440414044
614243102430
72416631043
oct622053562
9240302430
10105404274
1154552878
122b371a16
1318ab65c1
14ddda8ca
1593c0d69
hex6485772

105404274 has 32 divisors (see below), whose sum is σ = 236658240. Its totient is φ = 34770816.

The previous prime is 105404263. The next prime is 105404287. The reversal of 105404274 is 472404501.

105404274 is a `hidden beast` number, since 10 + 540 + 42 + 74 = 666.

It is a super-2 number, since 2×1054042742 = 22220121954934152, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 4824 + ... + 15299.

It is an arithmetic number, because the mean of its divisors is an integer number (7395570).

Almost surely, 2105404274 is an apocalyptic number.

105404274 is an abundant number, since it is smaller than the sum of its proper divisors (131253966).

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

105404274 is a wasteful number, since it uses less digits than its factorization.

105404274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20231 (or 20225 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 105404274 is about 10266.6583657975. The cubic root of 105404274 is about 472.3740959578.

Adding to 105404274 its reverse (472404501), we get a palindrome (577808775).

The spelling of 105404274 in words is "one hundred five million, four hundred four thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 5238 20123 40246 60369 120738 181107 362214 543321 1086642 1951931 3903862 5855793 11711586 17567379 35134758 52702137 105404274