20956046100 has 144 divisors (see below), whose sum is σ = 66552407040. Its totient is φ = 5048956800.

The previous prime is 20956046093. The next prime is 20956046107. The reversal of 20956046100 is 164065902.

It is an interprime number because it is at equal distance from previous prime (20956046093) and next prime (20956046107).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20956046107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518421 + ... + 557379.

Almost surely, 2^20956046100 is an apocalyptic number.

20956046100 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 20956046100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33276203520).

20956046100 is an abundant number, since it is smaller than the sum of its proper divisors (45596360940).

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

20956046100 is a wasteful number, since it uses less digits than its factorization.

20956046100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39150 (or 39143 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 20956046100 in words is "twenty billion, nine hundred fifty-six million, forty-six thousand, one hundred".