105001302120 has 192 divisors, whose sum is σ = 372108686400. Its totient is φ = 23496744960.

The previous prime is 105001302113. The next prime is 105001302151. The reversal of 105001302120 is 21203100501.

It is a super-2 number, since 2×105001302120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105001302120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12265 + ... + 458424.

It is an arithmetic number, because the mean of its divisors is an integer number (1938066075).

Almost surely, 2^105001302120 is an apocalyptic number.

105001302120 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 105001302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186054343200).

105001302120 is an abundant number, since it is smaller than the sum of its proper divisors (267107384280).

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

105001302120 is a wasteful number, since it uses less digits than its factorization.

105001302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470740 (or 470723 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 105001302120 its reverse (21203100501), we get a palindrome (126204402621).

The spelling of 105001302120 in words is "one hundred five billion, one million, three hundred two thousand, one hundred twenty".