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105163404 = 223193791217
BaseRepresentation
bin1100100010010…
…10101010001100
321022212212001220
412101022222030
5203410212104
614234003340
72414605563
oct621125214
9238785056
10105163404
11543a8905
122b276550
1318a30a88
14dd76bda
1593747d9
hex644aa8c

105163404 has 48 divisors (see below), whose sum is σ = 259190400. Its totient is φ = 33094656.

The previous prime is 105163397. The next prime is 105163463. The reversal of 105163404 is 404361501.

It is a super-2 number, since 2×1051634042 = 22118683081734432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85804 + ... + 87020.

It is an arithmetic number, because the mean of its divisors is an integer number (5399800).

Almost surely, 2105163404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105163404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129595200).

105163404 is an abundant number, since it is smaller than the sum of its proper divisors (154026996).

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

105163404 is a wasteful number, since it uses less digits than its factorization.

105163404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105163404 is about 10254.9209650782. The cubic root of 105163404 is about 472.0139981964.

The spelling of 105163404 in words is "one hundred five million, one hundred sixty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 379 758 1137 1217 1516 2274 2434 3651 4548 4868 7201 7302 14402 14604 21603 23123 28804 43206 46246 69369 86412 92492 138738 277476 461243 922486 1383729 1844972 2767458 5534916 8763617 17527234 26290851 35054468 52581702 105163404