105435025425120 has 384 divisors, whose sum is σ = 359095127731200. Its totient is φ = 25912990236672.

The previous prime is 105435025425089. The next prime is 105435025425137. The reversal of 105435025425120 is 21524520534501.

It is a super-2 number, since 2×105435025425120² (a number of 29 digits) contains 22 as substring.

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, 3565713696 + ... + 3565743264.

It is an arithmetic number, because the mean of its divisors is an integer number (935143561800).

Almost surely, 2^{105435025425120} is an apocalyptic number.

105435025425120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105435025425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179547563865600).

105435025425120 is an abundant number, since it is smaller than the sum of its proper divisors (253660102306080).

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

105435025425120 is a wasteful number, since it uses less digits than its factorization.

105435025425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40210 (or 40202 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

Adding to 105435025425120 its reverse (21524520534501), we get a palindrome (126959545959621).

The spelling of 105435025425120 in words is "one hundred five trillion, four hundred thirty-five billion, twenty-five million, four hundred twenty-five thousand, one hundred twenty".