105400251325 has 24 divisors (see below), whose sum is σ = 135403420680. Its totient is φ = 81291974400.

The previous prime is 105400251263. The next prime is 105400251337. The reversal of 105400251325 is 523152004501.

It can be written as a sum of positive squares in 12 ways, for example, as 17645668569 + 87754582756 = 132837^2 + 296234^2 .

It is not a de Polignac number, because 105400251325 - 2¹⁷ = 105400120253 is a prime.

It is a super-2 number, since 2×105400251325² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105400251293 and 105400251302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383455 + ... + 598195.

It is an arithmetic number, because the mean of its divisors is an integer number (5641809195).

Almost surely, 2^105400251325 is an apocalyptic number.

It is an amenable number.

105400251325 is a deficient number, since it is larger than the sum of its proper divisors (30003169355).

105400251325 is a wasteful number, since it uses less digits than its factorization.

105400251325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215457 (or 215452 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 105400251325 its reverse (523152004501), we get a palindrome (628552255826).

The spelling of 105400251325 in words is "one hundred five billion, four hundred million, two hundred fifty-one thousand, three hundred twenty-five".