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105150430 = 25711136559
BaseRepresentation
bin1100100010001…
…11011111011110
321022212012021101
412101013133132
5203404303210
614233423314
72414523010
oct621073736
9238765241
10105150430
115439a090
122b26ab3a
1318a27bb8
14dd721b0
159370a3a
hex64477de

105150430 has 32 divisors (see below), whose sum is σ = 235975680. Its totient is φ = 32773920.

The previous prime is 105150407. The next prime is 105150431. The reversal of 105150430 is 34051501.

It is a super-2 number, since 2×1051504302 = 22113225858369800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105150398 and 105150407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105150431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67510 + ... + 69049.

It is an arithmetic number, because the mean of its divisors is an integer number (7374240).

Almost surely, 2105150430 is an apocalyptic number.

105150430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105150430 is an abundant number, since it is smaller than the sum of its proper divisors (130825250).

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

105150430 is a wasteful number, since it uses less digits than its factorization.

105150430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136584.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105150430 is about 10254.2883712133. The cubic root of 105150430 is about 471.9945866228.

The spelling of 105150430 in words is "one hundred five million, one hundred fifty thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 136559 273118 682795 955913 1365590 1502149 1911826 3004298 4779565 7510745 9559130 10515043 15021490 21030086 52575215 105150430