105021503466 has 128 divisors (see below), whose sum is σ = 253475516160. Its totient is φ = 28632576000.

The previous prime is 105021503443. The next prime is 105021503473. The reversal of 105021503466 is 664305120501.

It is a super-2 number, since 2×105021503466² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 3270360 + ... + 3302316.

It is an arithmetic number, because the mean of its divisors is an integer number (1980277470).

Almost surely, 2^105021503466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105021503466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126737758080).

105021503466 is an abundant number, since it is smaller than the sum of its proper divisors (148454012694).

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

105021503466 is a wasteful number, since it uses less digits than its factorization.

105021503466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32120.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 105021503466 its reverse (664305120501), we get a palindrome (769326623967).

The spelling of 105021503466 in words is "one hundred five billion, twenty-one million, five hundred three thousand, four hundred sixty-six".