102241000 has 32 divisors (see below), whose sum is σ = 239246280. Its totient is φ = 40896000.

The previous prime is 102240997. The next prime is 102241001. The reversal of 102241000 is 142201.

It can be written as a sum of positive squares in 4 ways, for example, as 38464804 + 63776196 = 6202^2 + 7986^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102241001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50121 + ... + 52120.

Almost surely, 2^102241000 is an apocalyptic number.

102241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102241000 is an abundant number, since it is smaller than the sum of its proper divisors (137005280).

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

102241000 is a wasteful number, since it uses less digits than its factorization.

102241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102262 (or 102248 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102241000 is about 10111.4291769265. The cubic root of 102241000 is about 467.6005674578.

Adding to 102241000 its reverse (142201), we get a palindrome (102383201).

The spelling of 102241000 in words is "one hundred two million, two hundred forty-one thousand".