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106203025124 = 22721721874921
BaseRepresentation
bin110001011101000110…
…0011000111011100100
3101011010110201200000222
41202322030120323210
53220000433300444
6120442231223512
710446544550600
oct1427214307344
9334113650028
10106203025124
1141049925749
12186bb217b98
13a026981701
1451d6bdc500
152b68ac7eee
hex18ba318ee4

106203025124 has 54 divisors (see below), whose sum is σ = 229664820546. Its totient is φ = 42838172160.

The previous prime is 106203025079. The next prime is 106203025129. The reversal of 106203025124 is 421520302601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 23737564900 + 82465460224 = 154070^2 + 287168^2 .

It is a super-2 number, since 2×1062030251242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106203025093 and 106203025102.

It is not an unprimeable number, because it can be changed into a prime (106203025129) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 880817 + ... + 994104.

Almost surely, 2106203025124 is an apocalyptic number.

106203025124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106203025124 is an abundant number, since it is smaller than the sum of its proper divisors (123461795422).

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

106203025124 is a wasteful number, since it uses less digits than its factorization.

106203025124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874973 (or 1874947 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 106203025124 its reverse (421520302601), we get a palindrome (527723327725).

The spelling of 106203025124 in words is "one hundred six billion, two hundred three million, twenty-five thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1666 2023 3332 4046 8092 14161 28322 56644 1874921 3749842 7499684 13124447 26248894 31873657 52497788 63747314 91871129 127494628 183742258 223115599 367484516 446231198 541852169 892462396 1083704338 1561809193 2167408676 3123618386 3792965183 6247236772 7585930366 15171860732 26550756281 53101512562 106203025124