105202016640 has 768 divisors, whose sum is σ = 453866250240. Its totient is φ = 21897216000.

The previous prime is 105202016597. The next prime is 105202016641. The reversal of 105202016640 is 46610202501.

105202016640 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 0 + 2 + 0 + 16 + 640 = 666.

It is a super-2 number, since 2×105202016640² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105202016641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21246165 + ... + 21251115.

It is an arithmetic number, because the mean of its divisors is an integer number (590971680).

Almost surely, 2^105202016640 is an apocalyptic number.

105202016640 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 105202016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226933125120).

105202016640 is an abundant number, since it is smaller than the sum of its proper divisors (348664233600).

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

105202016640 is a wasteful number, since it uses less digits than its factorization.

105202016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 105202016640 in words is "one hundred five billion, two hundred two million, sixteen thousand, six hundred forty".