2100536723637 has 64 divisors (see below), whose sum is σ = 3491958988800. Its totient is φ = 1236727103040.

The previous prime is 2100536723611. The next prime is 2100536723683. The reversal of 2100536723637 is 7363276350012.

2100536723637 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 5 + 3 + 6 + 7 + 2 + 3 + 637 = 666.

It is not a de Polignac number, because 2100536723637 - 2⁸ = 2100536723381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100536723592 and 2100536723601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100536723437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6962164 + ... + 7257602.

It is an arithmetic number, because the mean of its divisors is an integer number (54561859200).

Almost surely, 2^{2100536723637} is an apocalyptic number.

2100536723637 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2100536723637 is a deficient number, since it is larger than the sum of its proper divisors (1391422265163).

2100536723637 is a wasteful number, since it uses less digits than its factorization.

2100536723637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296143 (or 296137 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 2100536723637 in words is "two trillion, one hundred billion, five hundred thirty-six million, seven hundred twenty-three thousand, six hundred thirty-seven".