10005121620 has 144 divisors (see below), whose sum is σ = 33894107520. Its totient is φ = 2462783616.

The previous prime is 10005121613. The next prime is 10005121661. The reversal of 10005121620 is 2612150001.

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 = 10005121593 and 10005121602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16000 + ... + 142359.

Almost surely, 2^10005121620 is an apocalyptic number.

10005121620 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 10005121620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16947053760).

10005121620 is an abundant number, since it is smaller than the sum of its proper divisors (23888985900).

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

10005121620 is a wasteful number, since it uses less digits than its factorization.

10005121620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158396 (or 158382 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10005121620 its reverse (2612150001), we get a palindrome (12617271621).

The spelling of 10005121620 in words is "ten billion, five million, one hundred twenty-one thousand, six hundred twenty".