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105130404 = 22322920289
BaseRepresentation
bin1100100010000…
…10100110100100
321022211011210200
412101002212210
5203403133104
614233150500
72414410431
oct621024644
9238734720
10105130404
1154386035
122b25b430
1318a1ba52
14dd68b88
159369b39
hex64429a4

105130404 has 18 divisors (see below), whose sum is σ = 265746390. Its totient is φ = 35043456.

The previous prime is 105130379. The next prime is 105130409. The reversal of 105130404 is 404031501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 105021504 + 108900 = 10248^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1051304042 = 22104803690406432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (105130409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1460109 + ... + 1460180.

Almost surely, 2105130404 is an apocalyptic number.

It is an amenable number.

105130404 is an abundant number, since it is smaller than the sum of its proper divisors (160615986).

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

105130404 is a wasteful number, since it uses less digits than its factorization.

105130404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920299 (or 2920294 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105130404 is about 10253.3118552007. The cubic root of 105130404 is about 471.9646207801.

Adding to 105130404 its reverse (404031501), we get a palindrome (509161905).

The spelling of 105130404 in words is "one hundred five million, one hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 2920289 5840578 8760867 11681156 17521734 26282601 35043468 52565202 105130404