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105502430 = 251141149157
BaseRepresentation
bin1100100100111…
…01011011011110
321100112002010102
412102131123132
5204002034210
614245141102
72420520155
oct622353336
9240462112
10105502430
115460a5a0
122b3ba792
1318b1c197
141002459c
1593deea5
hex649d6de

105502430 has 64 divisors (see below), whose sum is σ = 215006400. Its totient is φ = 36940800.

The previous prime is 105502427. The next prime is 105502457. The reversal of 105502430 is 34205501.

105502430 = 222 + 232 + ... + 6812.

It is a super-2 number, since 2×1055024302 = 22261525471809800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671912 + ... + 672068.

It is an arithmetic number, because the mean of its divisors is an integer number (3359475).

Almost surely, 2105502430 is an apocalyptic number.

105502430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105502430 is an abundant number, since it is smaller than the sum of its proper divisors (109503970).

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

105502430 is a wasteful number, since it uses less digits than its factorization.

105502430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365.

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105502430 is about 10271.4375819551. The cubic root of 105502430 is about 472.5206806734.

Adding to 105502430 its reverse (34205501), we get a palindrome (139707931).

The spelling of 105502430 in words is "one hundred five million, five hundred two thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 41 55 82 110 149 157 205 298 314 410 451 745 785 902 1490 1570 1639 1727 2255 3278 3454 4510 6109 6437 8195 8635 12218 12874 16390 17270 23393 30545 32185 46786 61090 64370 67199 70807 116965 134398 141614 233930 257323 335995 354035 514646 671990 708070 959113 1286615 1918226 2573230 4795565 9591130 10550243 21100486 52751215 105502430