2105033315140 has 96 divisors (see below), whose sum is σ = 5081674752000. Its totient is φ = 717503909760.

The previous prime is 2105033315123. The next prime is 2105033315173. The reversal of 2105033315140 is 415133305012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2105033315099 and 2105033315108.

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, 34264971 + ... + 34326349.

It is an arithmetic number, because the mean of its divisors is an integer number (52934112000).

Almost surely, 2^{2105033315140} is an apocalyptic number.

2105033315140 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 2105033315140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540837376000).

2105033315140 is an abundant number, since it is smaller than the sum of its proper divisors (2976641436860).

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

2105033315140 is a wasteful number, since it uses less digits than its factorization.

2105033315140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62825 (or 62823 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 2105033315140 in words is "two trillion, one hundred five billion, thirty-three million, three hundred fifteen thousand, one hundred forty".