105151121225 has 12 divisors (see below), whose sum is σ = 130429425420. Its totient is φ = 84093777600.

The previous prime is 105151121209. The next prime is 105151121233. The reversal of 105151121225 is 522121151501.

It can be written as a sum of positive squares in 6 ways, for example, as 7540490896 + 97610630329 = 86836^2 + 312427^2 .

It is not a de Polignac number, because 105151121225 - 2⁴ = 105151121209 is a prime.

It is a super-2 number, since 2×105151121225² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105151121194 and 105151121203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598706 + ... + 754155.

It is an arithmetic number, because the mean of its divisors is an integer number (10869118785).

Almost surely, 2^105151121225 is an apocalyptic number.

It is an amenable number.

105151121225 is a deficient number, since it is larger than the sum of its proper divisors (25278304195).

105151121225 is a wasteful number, since it uses less digits than its factorization.

105151121225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355980 (or 1355975 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 26.

Adding to 105151121225 its reverse (522121151501), we get a palindrome (627272272726).

The spelling of 105151121225 in words is "one hundred five billion, one hundred fifty-one million, one hundred twenty-one thousand, two hundred twenty-five".