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105115150 = 2527378117
BaseRepresentation
bin1100100001111…
…10111000001110
321022210101212201
412100332320032
5203402141100
614232552114
72414315110
oct620767016
9238711781
10105115150
1154375628
122b25263a
1318a14b1a
14dd633b0
15936536a
hex643ee0e

105115150 has 48 divisors (see below), whose sum is σ = 229512096. Its totient is φ = 35061120.

The previous prime is 105115147. The next prime is 105115151. The reversal of 105115150 is 51511501.

It is a happy number.

It is a super-2 number, since 2×1051151502 = 22098389519045000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105115151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8892 + ... + 17008.

It is an arithmetic number, because the mean of its divisors is an integer number (4781502).

Almost surely, 2105115150 is an apocalyptic number.

105115150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105115150 is an abundant number, since it is smaller than the sum of its proper divisors (124396946).

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

105115150 is a wasteful number, since it uses less digits than its factorization.

105115150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8173 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 19.

The square root of 105115150 is about 10252.5679710012. The cubic root of 105115150 is about 471.9417929515.

Adding to 105115150 its reverse (51511501), we get a palindrome (156626651).

The spelling of 105115150 in words is "one hundred five million, one hundred fifteen thousand, one hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 37 50 70 74 175 185 259 350 370 518 925 1295 1850 2590 6475 8117 12950 16234 40585 56819 81170 113638 202925 284095 300329 405850 568190 600658 1420475 1501645 2102303 2840950 3003290 4204606 7508225 10511515 15016450 21023030 52557575 105115150