105212001024 has 216 divisors, whose sum is σ = 331168961760. Its totient is φ = 31928795136.

The previous prime is 105212001023. The next prime is 105212001053. The reversal of 105212001024 is 420100212501.

It is a super-2 number, since 2×105212001024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105212000988 and 105212001006.

It is not an unprimeable number, because it can be changed into a prime (105212001023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2162437 + ... + 2210555.

Almost surely, 2^105212001024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105212001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165584480880).

105212001024 is an abundant number, since it is smaller than the sum of its proper divisors (225956960736).

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

105212001024 is a wasteful number, since it uses less digits than its factorization.

105212001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48227 (or 48210 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 105212001024 its reverse (420100212501), we get a palindrome (525312213525).

The spelling of 105212001024 in words is "one hundred five billion, two hundred twelve million, one thousand, twenty-four".