100248857641 has 3 divisors (see below), whose sum is σ = 100249174263. Its totient is φ = 100248541020.

The previous prime is 100248857549. The next prime is 100248857663. The reversal of 100248857641 is 146758842001.

The square root of 100248857641 is 316621.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 60112742041 + 40136115600 = 245179^2 + 200340^2 .

It is not a de Polignac number, because 100248857641 - 2¹¹ = 100248855593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100248857591 and 100248857600.

It is not an unprimeable number, because it can be changed into a prime (100248857671) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 158311 + ... + 474931.

It is an arithmetic number, because the mean of its divisors is an integer number (33416391421).

Almost surely, 2^100248857641 is an apocalyptic number.

100248857641 is the 316621-st square number.

100248857641 is the 158311-st centered octagonal number.

It is an amenable number.

100248857641 is a deficient number, since it is larger than the sum of its proper divisors (316622).

100248857641 is an frugal number, since it uses more digits than its factorization.

100248857641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633242 (or 316621 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 100248857641 in words is "one hundred billion, two hundred forty-eight million, eight hundred fifty-seven thousand, six hundred forty-one".