2105158977000 has 640 divisors, whose sum is σ = 7837489614240. Its totient is φ = 525240115200.

The previous prime is 2105158976981. The next prime is 2105158977001. The reversal of 2105158977000 is 7798515012.

2105158977000 is a `hidden beast` number, since 2 + 10 + 51 + 589 + 7 + 7 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 588285932004 + 1516873044996 = 766998^2 + 1231614^2 .

It is a super-3 number, since 3×2105158977000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2105158977001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 238216582 + ... + 238225418.

Almost surely, 2^{2105158977000} is an apocalyptic number.

2105158977000 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 2105158977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918744807120).

2105158977000 is an abundant number, since it is smaller than the sum of its proper divisors (5732330637240).

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

2105158977000 is a wasteful number, since it uses less digits than its factorization.

2105158977000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9060 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 2105158977000 in words is "two trillion, one hundred five billion, one hundred fifty-eight million, nine hundred seventy-seven thousand".