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105028542 = 23319102367
BaseRepresentation
bin1100100001010…
…01101110111110
321022122000002000
412100221232332
5203341403132
614231043130
72413504443
oct620515676
9238560060
10105028542
1154316553
122b2104a6
13189b4588
14dd3d9ca
15934987c
hex6429bbe

105028542 has 32 divisors (see below), whose sum is σ = 245683200. Its totient is φ = 33166584.

The previous prime is 105028541. The next prime is 105028543. The reversal of 105028542 is 245820501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105028541) and next prime (105028543).

It is a super-2 number, since 2×1050285422 = 22061989269291528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105028541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50158 + ... + 52209.

It is an arithmetic number, because the mean of its divisors is an integer number (7677600).

Almost surely, 2105028542 is an apocalyptic number.

105028542 is an abundant number, since it is smaller than the sum of its proper divisors (140654658).

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

105028542 is a wasteful number, since it uses less digits than its factorization.

105028542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102397 (or 102391 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105028542 is about 10248.3433783222. The cubic root of 105028542 is about 471.8121409595.

It can be divided in two parts, 105028 and 542, that added together give a triangular number (105570 = T459).

The spelling of 105028542 in words is "one hundred five million, twenty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 102367 204734 307101 614202 921303 1842606 1944973 2763909 3889946 5527818 5834919 11669838 17504757 35009514 52514271 105028542