20102105408 has 224 divisors, whose sum is σ = 51036687360. Its totient is φ = 7629557760.

The previous prime is 20102105407. The next prime is 20102105459. The reversal of 20102105408 is 80450120102.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102105407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35328548 + ... + 35329116.

Almost surely, 2^20102105408 is an apocalyptic number.

20102105408 is a gapful number since it is divisible by the number (28) 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 20102105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25518343680).

20102105408 is an abundant number, since it is smaller than the sum of its proper divisors (30934581952).

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

20102105408 is a wasteful number, since it uses less digits than its factorization.

20102105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The spelling of 20102105408 in words is "twenty billion, one hundred two million, one hundred five thousand, four hundred eight".