2101005672 has 16 divisors (see below), whose sum is σ = 5252514240. Its totient is φ = 700335216.

The previous prime is 2101005653. The next prime is 2101005691. The reversal of 2101005672 is 2765001012.

It is an interprime number because it is at equal distance from previous prime (2101005653) and next prime (2101005691).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 87541903 = 2101005672 / (2 + 1 + 0 + 1 + 0 + 0 + 5 + 6 + 7 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43770928 + ... + 43770975.

It is an arithmetic number, because the mean of its divisors is an integer number (328282140).

Almost surely, 2^2101005672 is an apocalyptic number.

It is an amenable number.

2101005672 is an abundant number, since it is smaller than the sum of its proper divisors (3151508568).

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

2101005672 is a wasteful number, since it uses less digits than its factorization.

2101005672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87541912 (or 87541908 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 2101005672 is about 45836.7284172856. The cubic root of 2101005672 is about 1280.7835518265.

Adding to 2101005672 its reverse (2765001012), we get a palindrome (4866006684).

The spelling of 2101005672 in words is "two billion, one hundred one million, five thousand, six hundred seventy-two".