20105350400 has 216 divisors, whose sum is σ = 51370842264. Its totient is φ = 7785676800.

The previous prime is 20105350399. The next prime is 20105350547. The reversal of 20105350400 is 405350102.

It can be written as a sum of positive squares in 12 ways, for example, as 11650180096 + 8455170304 = 107936^2 + 91952^2 .

It is a super-2 number, since 2×20105350400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50643002 + ... + 50643398.

Almost surely, 2^20105350400 is an apocalyptic number.

20105350400 is a gapful number since it is divisible by the number (20) 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 20105350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25685421132).

20105350400 is an abundant number, since it is smaller than the sum of its proper divisors (31265491864).

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

20105350400 is a wasteful number, since it uses less digits than its factorization.

20105350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 20105350400 in words is "twenty billion, one hundred five million, three hundred fifty thousand, four hundred".