102545600 has 42 divisors (see below), whose sum is σ = 252330204. Its totient is φ = 41017600.

The previous prime is 102545593. The next prime is 102545609. The reversal of 102545600 is 6545201.

It is not an unprimeable number, because it can be changed into a prime (102545609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30446 + ... + 33645.

It is an arithmetic number, because the mean of its divisors is an integer number (6007862).

Almost surely, 2^102545600 is an apocalyptic number.

102545600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102545600 is an abundant number, since it is smaller than the sum of its proper divisors (149784604).

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

102545600 is an equidigital number, since it uses as much as digits as its factorization.

102545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64113 (or 64098 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 102545600 is about 10126.4801387254. The cubic root of 102545600 is about 468.0644711142.

The spelling of 102545600 in words is "one hundred two million, five hundred forty-five thousand, six hundred".