105410420350125 has 64 divisors (see below), whose sum is σ = 191387068075008. Its totient is φ = 51097824360000.

The previous prime is 105410420350093. The next prime is 105410420350181. The reversal of 105410420350125 is 521053024014501.

It is not a de Polignac number, because 105410420350125 - 2⁵ = 105410420350093 is a prime.

It is a super-2 number, since 2×105410420350125² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18009310 + ... + 23133440.

It is an arithmetic number, because the mean of its divisors is an integer number (2990422938672).

Almost surely, 2^{105410420350125} is an apocalyptic number.

105410420350125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105410420350125 is a deficient number, since it is larger than the sum of its proper divisors (85976647724883).

105410420350125 is a wasteful number, since it uses less digits than its factorization.

105410420350125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129147 (or 5129137 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 105410420350125 its reverse (521053024014501), we get a palindrome (626463444364626).

The spelling of 105410420350125 in words is "one hundred five trillion, four hundred ten billion, four hundred twenty million, three hundred fifty thousand, one hundred twenty-five".