105020828640 has 576 divisors, whose sum is σ = 457439463936. Its totient is φ = 22157494272.

The previous prime is 105020828623. The next prime is 105020828663. The reversal of 105020828640 is 46828020501.

105020828640 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 2 + 0 + 8 + 2 + 8 + 640 = 666.

It is a super-2 number, since 2×105020828640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105020828595 and 105020828604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3523239 + ... + 3552921.

It is an arithmetic number, because the mean of its divisors is an integer number (794165736).

Almost surely, 2^105020828640 is an apocalyptic number.

105020828640 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 105020828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228719731968).

105020828640 is an abundant number, since it is smaller than the sum of its proper divisors (352418635296).

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

105020828640 is a wasteful number, since it uses less digits than its factorization.

105020828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29733 (or 29713 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 105020828640 in words is "one hundred five billion, twenty million, eight hundred twenty-eight thousand, six hundred forty".