102105851828 has 48 divisors (see below), whose sum is σ = 181948591440. Its totient is φ = 50130432000.

The previous prime is 102105851821. The next prime is 102105851839. The reversal of 102105851828 is 828158501201.

It can be written as a sum of positive squares in 8 ways, for example, as 34392444304 + 67713407524 = 185452^2 + 260218^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102105851821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32218628 + ... + 32221796.

It is an arithmetic number, because the mean of its divisors is an integer number (3790595655).

Almost surely, 2^102105851828 is an apocalyptic number.

It is an amenable number.

102105851828 is a deficient number, since it is larger than the sum of its proper divisors (79842739612).

102105851828 is a wasteful number, since it uses less digits than its factorization.

102105851828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 41.

The spelling of 102105851828 in words is "one hundred two billion, one hundred five million, eight hundred fifty-one thousand, eight hundred twenty-eight".