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105434430 = 23529121189
BaseRepresentation
bin1100100100011…
…00110100111110
321100101121211220
412102030310332
5203442400210
614243454210
72420115003
oct622146476
9240347756
10105434430
11545734a2
122b387366
1318ac724a
14100078aa
1593c9c70
hex648cd3e

105434430 has 32 divisors (see below), whose sum is σ = 261770400. Its totient is φ = 27146112.

The previous prime is 105434429. The next prime is 105434453. The reversal of 105434430 is 34434501.

It is a super-2 number, since 2×1054344302 = 22232838058849800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105434430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59725 + ... + 61464.

It is an arithmetic number, because the mean of its divisors is an integer number (8180325).

Almost surely, 2105434430 is an apocalyptic number.

105434430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105434430 is an abundant number, since it is smaller than the sum of its proper divisors (156335970).

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

105434430 is a wasteful number, since it uses less digits than its factorization.

105434430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121228.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 105434430 is about 10268.1268983199. The cubic root of 105434430 is about 472.4191401621.

Adding to 105434430 its reverse (34434501), we get a palindrome (139868931).

The spelling of 105434430 in words is "one hundred five million, four hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 121189 242378 363567 605945 727134 1211890 1817835 3514481 3635670 7028962 10543443 17572405 21086886 35144810 52717215 105434430