2005101600 has 72 divisors (see below), whose sum is σ = 6526613520. Its totient is φ = 534693120.

The previous prime is 2005101587. The next prime is 2005101617. The reversal of 2005101600 is 61015002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2005101600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415330 + ... + 420129.

It is an arithmetic number, because the mean of its divisors is an integer number (90647410).

Almost surely, 2^2005101600 is an apocalyptic number.

2005101600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005101600 is an abundant number, since it is smaller than the sum of its proper divisors (4521511920).

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

2005101600 is a wasteful number, since it uses less digits than its factorization.

2005101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835482 (or 835469 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2005101600 is about 44778.3608453905. The cubic root of 2005101600 is about 1260.9914091906.

Adding to 2005101600 its reverse (61015002), we get a palindrome (2066116602).

The spelling of 2005101600 in words is "two billion, five million, one hundred one thousand, six hundred".