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105435492 = 22314536047
BaseRepresentation
bin1100100100011…
…01000101100100
321100101200022020
412102031011210
5203442413432
614243503140
72420121051
oct622150544
9240350266
10105435492
1154574278
122b387ab0
1318ac7886
1410008028
1593ca22c
hex648d164

105435492 has 24 divisors (see below), whose sum is σ = 246226176. Its totient is φ = 35115168.

The previous prime is 105435469. The next prime is 105435509. The reversal of 105435492 is 294534501.

It is a super-2 number, since 2×1054354922 = 22233285946564128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14413 + ... + 20459.

It is an arithmetic number, because the mean of its divisors is an integer number (10259424).

Almost surely, 2105435492 is an apocalyptic number.

105435492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105435492 is an abundant number, since it is smaller than the sum of its proper divisors (140790684).

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

105435492 is a wasteful number, since it uses less digits than its factorization.

105435492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7507 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 105435492 is about 10268.1786116136. The cubic root of 105435492 is about 472.4207263216.

Adding to 105435492 its reverse (294534501), we get a palindrome (399969993).

The spelling of 105435492 in words is "one hundred five million, four hundred thirty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 1453 2906 4359 5812 6047 8718 12094 17436 18141 24188 36282 72564 8786291 17572582 26358873 35145164 52717746 105435492