21105996371096 has 128 divisors (see below), whose sum is σ = 50315270799360. Its totient is φ = 8074181606400.

The previous prime is 21105996371041. The next prime is 21105996371107. The reversal of 21105996371096 is 69017369950112.

It is a super-3 number, since 3×21105996371096³ (a number of 41 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29595356 + ... + 30300116.

It is an arithmetic number, because the mean of its divisors is an integer number (393088053120).

Almost surely, 2^{21105996371096} is an apocalyptic number.

21105996371096 is a gapful number since it is divisible by the number (26) 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 21105996371096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25157635399680).

21105996371096 is an abundant number, since it is smaller than the sum of its proper divisors (29209274428264).

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

21105996371096 is a wasteful number, since it uses less digits than its factorization.

21105996371096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706145 (or 706141 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 59.

The spelling of 21105996371096 in words is "twenty-one trillion, one hundred five billion, nine hundred ninety-six million, three hundred seventy-one thousand, ninety-six".