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105025998 = 23711281809
BaseRepresentation
bin1100100001010…
…01000111001110
321022121212120210
412100221013032
5203341312443
614231023250
72413464150
oct620510716
9238555523
10105025998
1154314650
122b20ab26
13189b337c
14dd3cad0
159348c33
hex64291ce

105025998 has 64 divisors (see below), whose sum is σ = 263139840. Its totient is φ = 27148800.

The previous prime is 105025993. The next prime is 105026011. The reversal of 105025998 is 899520501.

It is a super-2 number, since 2×1050259982 = 22060920511792008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105025993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129418 + ... + 130226.

It is an arithmetic number, because the mean of its divisors is an integer number (4111560).

Almost surely, 2105025998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105025998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131569920).

105025998 is an abundant number, since it is smaller than the sum of its proper divisors (158113842).

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

105025998 is a wasteful number, since it uses less digits than its factorization.

105025998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113.

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 105025998 is about 10248.2192599495. The cubic root of 105025998 is about 471.8083315195.

The spelling of 105025998 in words is "one hundred five million, twenty-five thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 281 462 562 809 843 1618 1686 1967 2427 3091 3934 4854 5663 5901 6182 8899 9273 11326 11802 16989 17798 18546 21637 26697 33978 43274 53394 62293 64911 124586 129822 186879 227329 373758 454658 681987 1363974 1591303 2500619 3182606 4773909 5001238 7501857 9547818 15003714 17504333 35008666 52512999 105025998