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105325808 = 2472833323
BaseRepresentation
bin1100100011100…
…10010011110000
321100012002211212
412101302103300
5203430411213
614241255252
72416153220
oct621622360
9240162755
10105325808
11544a9925
122b334528
1318a89983
14ddba080
1593a79a8
hex64724f0

105325808 has 40 divisors (see below), whose sum is σ = 234115968. Its totient is φ = 44966592.

The previous prime is 105325807. The next prime is 105325811. The reversal of 105325808 is 808523501.

It is a happy number.

It is a super-2 number, since 2×1053258082 = 22187051661705728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105325807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30035 + ... + 33357.

Almost surely, 2105325808 is an apocalyptic number.

It is an amenable number.

105325808 is an abundant number, since it is smaller than the sum of its proper divisors (128790160).

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

105325808 is a wasteful number, since it uses less digits than its factorization.

105325808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 105325808 is about 10262.8362551490. The cubic root of 105325808 is about 472.2568505315.

The spelling of 105325808 in words is "one hundred five million, three hundred twenty-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 283 566 1132 1981 2264 3323 3962 4528 6646 7924 13292 15848 23261 26584 31696 46522 53168 93044 186088 372176 940409 1880818 3761636 6582863 7523272 13165726 15046544 26331452 52662904 105325808