102049600 has 42 divisors (see below), whose sum is σ = 251109734. Its totient is φ = 40819200.

The previous prime is 102049583. The next prime is 102049609. The reversal of 102049600 is 6940201.

It can be written as a sum of positive squares in 3 ways, for example, as 6635776 + 95413824 = 2576^2 + 9768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102049609) 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, 30291 + ... + 33490.

Almost surely, 2^102049600 is an apocalyptic number.

102049600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102049600 is an abundant number, since it is smaller than the sum of its proper divisors (149060134).

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

102049600 is an equidigital number, since it uses as much as digits as its factorization.

102049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63803 (or 63788 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 102049600 is about 10101.9602058214. The cubic root of 102049600 is about 467.3085950417.

Adding to 102049600 its reverse (6940201), we get a palindrome (108989801).

The spelling of 102049600 in words is "one hundred two million, forty-nine thousand, six hundred".