21100628105763 has 8 divisors (see below), whose sum is σ = 28134195306576. Its totient is φ = 14067073154400.

The previous prime is 21100628105741. The next prime is 21100628105789. The reversal of 21100628105763 is 36750182600112.

It is a happy number.

It is a Cunningham number, because it is equal to 4593542²-1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21100628105763 - 2⁵ = 21100628105731 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21100628175763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2296773 + ... + 6890313.

It is an arithmetic number, because the mean of its divisors is an integer number (3516774413322).

Almost surely, 2^{21100628105763} is an apocalyptic number.

21100628105763 is a deficient number, since it is larger than the sum of its proper divisors (7033567200813).

21100628105763 is a wasteful number, since it uses less digits than its factorization.

21100628105763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124725.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 21100628105763 in words is "twenty-one trillion, one hundred billion, six hundred twenty-eight million, one hundred five thousand, seven hundred sixty-three".