102050000 has 120 divisors (see below), whose sum is σ = 267842232. Its totient is φ = 37440000.

The previous prime is 102049993. The next prime is 102050009. The reversal of 102050000 is 50201.

It can be written as a sum of positive squares in 12 ways, for example, as 95101504 + 6948496 = 9752^2 + 2636^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102050000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102050009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649922 + ... + 650078.

Almost surely, 2^102050000 is an apocalyptic number.

102050000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133921116).

102050000 is an abundant number, since it is smaller than the sum of its proper divisors (165792232).

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

102050000 is an equidigital number, since it uses as much as digits as its factorization.

102050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 102050000 is about 10101.9800039398. The cubic root of 102050000 is about 467.3092056049.

The spelling of 102050000 in words is "one hundred two million, fifty thousand".