102805710100 has 18 divisors (see below), whose sum is σ = 223088391134. Its totient is φ = 41122284000.

The previous prime is 102805710041. The next prime is 102805710101. The reversal of 102805710100 is 1017508201.

It can be written as a sum of positive squares in 3 ways, for example, as 1368556036 + 101437154064 = 36994^2 + 318492^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102805710101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 514028451 + ... + 514028650.

Almost surely, 2^102805710100 is an apocalyptic number.

102805710100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102805710100 is an abundant number, since it is smaller than the sum of its proper divisors (120282681034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102805710100 is a wasteful number, since it uses less digits than its factorization.

102805710100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028057115 (or 1028057108 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 25.

The spelling of 102805710100 in words is "one hundred two billion, eight hundred five million, seven hundred ten thousand, one hundred".