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10105020 = 2233518713
BaseRepresentation
bin100110100011…
…000010111100
3201000101111000
4212203002330
510041330040
61000330300
7151614462
oct46430274
921011430
1010105020
115782062
123473990
13212a603
1414b0832
15d49130
hex9a30bc

10105020 has 48 divisors (see below), whose sum is σ = 31439520. Its totient is φ = 2694528.

The previous prime is 10105019. The next prime is 10105037. The reversal of 10105020 is 2050101.

It is a happy number.

It is a super-2 number, since 2×101050202 = 204222858400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10104993 and 10105011.

It is a congruent number.

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, 8817 + ... + 9896.

It is an arithmetic number, because the mean of its divisors is an integer number (654990).

Almost surely, 210105020 is an apocalyptic number.

10105020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105020 is an abundant number, since it is smaller than the sum of its proper divisors (21334500).

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

10105020 is a wasteful number, since it uses less digits than its factorization.

10105020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18731 (or 18723 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10105020 is about 3178.8394108542. The cubic root of 10105020 is about 216.1950398827.

Adding to 10105020 its reverse (2050101), we get a palindrome (12155121).

The spelling of 10105020 in words is "ten million, one hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 18713 37426 56139 74852 93565 112278 168417 187130 224556 280695 336834 374260 505251 561390 673668 842085 1010502 1122780 1684170 2021004 2526255 3368340 5052510 10105020