105020252033130 has 256 divisors, whose sum is σ = 322739520491520. Its totient is φ = 23804060716800.

The previous prime is 105020252033119. The next prime is 105020252033131. The reversal of 105020252033130 is 31330252020501.

It is a happy number.

105020252033130 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 2 + 0 + 2 + 520 + 3 + 3 + 130 = 666.

105020252033130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105020252033130² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105020252033094 and 105020252033103.

It is not an unprimeable number, because it can be changed into a prime (105020252033131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 341768217 + ... + 342075363.

It is an arithmetic number, because the mean of its divisors is an integer number (1260701251920).

Almost surely, 2^{105020252033130} is an apocalyptic number.

105020252033130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105020252033130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161369760245760).

105020252033130 is an abundant number, since it is smaller than the sum of its proper divisors (217719268458390).

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

105020252033130 is a wasteful number, since it uses less digits than its factorization.

105020252033130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308682 (or 308676 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 105020252033130 in words is "one hundred five trillion, twenty billion, two hundred fifty-two million, thirty-three thousand, one hundred thirty".