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105116025 = 3527228603
BaseRepresentation
bin1100100001111…
…11000101111001
321022210110002010
412100333011321
5203402203100
614233000133
72414320500
oct620770571
9238713063
10105116025
1154376253
122b253049
1318a15341
14dd63837
159365750
hex643f179

105116025 has 36 divisors (see below), whose sum is σ = 202173072. Its totient is φ = 48051360.

The previous prime is 105116023. The next prime is 105116059. The reversal of 105116025 is 520611501.

It is not a de Polignac number, because 105116025 - 21 = 105116023 is a prime.

It is a super-2 number, since 2×1051160252 = 22098757423601250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 105115992 and 105116010.

It is not an unprimeable number, because it can be changed into a prime (105116021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10627 + ... + 17976.

Almost surely, 2105116025 is an apocalyptic number.

105116025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105116025 is a deficient number, since it is larger than the sum of its proper divisors (97057047).

105116025 is a wasteful number, since it uses less digits than its factorization.

105116025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28630 (or 28618 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 105116025 is about 10252.6106431484. The cubic root of 105116025 is about 471.9431024612.

Adding to 105116025 its reverse (520611501), we get a palindrome (625727526).

The spelling of 105116025 in words is "one hundred five million, one hundred sixteen thousand, twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 1225 3675 28603 85809 143015 200221 429045 600663 715075 1001105 1401547 2145225 3003315 4204641 5005525 7007735 15016575 21023205 35038675 105116025