102105703221 has 32 divisors (see below), whose sum is σ = 138533421312. Its totient is φ = 66886149120.

The previous prime is 102105703081. The next prime is 102105703247. The reversal of 102105703221 is 122307501201.

It is not a de Polignac number, because 102105703221 - 2¹⁹ = 102105178933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102105703191 and 102105703200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102105703261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31698391 + ... + 31701611.

It is an arithmetic number, because the mean of its divisors is an integer number (4329169416).

Almost surely, 2^102105703221 is an apocalyptic number.

It is an amenable number.

102105703221 is a deficient number, since it is larger than the sum of its proper divisors (36427718091).

102105703221 is a wasteful number, since it uses less digits than its factorization.

102105703221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093.

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

The spelling of 102105703221 in words is "one hundred two billion, one hundred five million, seven hundred three thousand, two hundred twenty-one".