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105149304 = 233213112339
BaseRepresentation
bin1100100010001…
…11001101111000
321022212010201200
412101013031320
5203404234204
614233414200
72414516511
oct621071570
9238763650
10105149304
1154399257
122b26a360
1318a27530
14dd71a08
159370539
hex6447378

105149304 has 48 divisors (see below), whose sum is σ = 306688200. Its totient is φ = 32353344.

The previous prime is 105149279. The next prime is 105149309. The reversal of 105149304 is 403941501.

It is a super-2 number, since 2×1051493042 = 22112752263368832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105149309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 55234 + ... + 57105.

Almost surely, 2105149304 is an apocalyptic number.

It is an amenable number.

105149304 is an abundant number, since it is smaller than the sum of its proper divisors (201538896).

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

105149304 is a wasteful number, since it uses less digits than its factorization.

105149304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112364 (or 112357 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105149304 is about 10254.2334672076. The cubic root of 105149304 is about 471.9929018371.

The spelling of 105149304 in words is "one hundred five million, one hundred forty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 112339 224678 337017 449356 674034 898712 1011051 1348068 1460407 2022102 2696136 2920814 4044204 4381221 5841628 8088408 8762442 11683256 13143663 17524884 26287326 35049768 52574652 105149304