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105140233450 = 2527242914381
BaseRepresentation
bin110000111101011011…
…0001010010011101010
3101001101101220020221101
41201322312022103222
53210311344432300
6120144544032014
710411321144600
oct1417266122352
9331341806841
10105140233450
1140653a1461a
121846330260a
139bb772a9b5
1451359c7870
152b05641b6a
hex187ad8a4ea

105140233450 has 36 divisors (see below), whose sum is σ = 227489138982. Its totient is φ = 36048079200.

The previous prime is 105140233409. The next prime is 105140233529. The reversal of 105140233450 is 54332041501.

It can be written as a sum of positive squares in 3 ways, for example, as 102519714969 + 2620518481 = 320187^2 + 51191^2 .

It is a super-2 number, since 2×1051402334502 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21454741 + ... + 21459640.

Almost surely, 2105140233450 is an apocalyptic number.

105140233450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105140233450 is an abundant number, since it is smaller than the sum of its proper divisors (122348905532).

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

105140233450 is a wasteful number, since it uses less digits than its factorization.

105140233450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42914407 (or 42914395 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 105140233450 its reverse (54332041501), we get a palindrome (159472274951).

The spelling of 105140233450 in words is "one hundred five billion, one hundred forty million, two hundred thirty-three thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 1225 2450 42914381 85828762 214571905 300400667 429143810 600801334 1072859525 1502003335 2102804669 2145719050 3004006670 4205609338 7510016675 10514023345 15020033350 21028046690 52570116725 105140233450