20834378100 has 108 divisors (see below), whose sum is σ = 67069286284. Its totient is φ = 5405667840.

The previous prime is 20834378087. The next prime is 20834378111. The reversal of 20834378100 is 187343802.

20834378100 is a `hidden beast` number, since 208 + 3 + 437 + 8 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3272297616 + 17562080484 = 57204^2 + 132522^2 .

It is a super-2 number, since 2×20834378100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 279529 + ... + 346128.

Almost surely, 2^20834378100 is an apocalyptic number.

20834378100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20834378100 is an abundant number, since it is smaller than the sum of its proper divisors (46234908184).

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

20834378100 is a wasteful number, since it uses less digits than its factorization.

20834378100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625714 (or 625704 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20834378100 in words is "twenty billion, eight hundred thirty-four million, three hundred seventy-eight thousand, one hundred".