102144896 has 32 divisors (see below), whose sum is σ = 232564080. Its totient is φ = 43776000.

The previous prime is 102144883. The next prime is 102144929. The reversal of 102144896 is 698441201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 56105 + ... + 57896.

Almost surely, 2^102144896 is an apocalyptic number.

102144896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102144896 is an abundant number, since it is smaller than the sum of its proper divisors (130419184).

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

102144896 is an equidigital number, since it uses as much as digits as its factorization.

102144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114022 (or 114010 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 102144896 is about 10106.6758135403. The cubic root of 102144896 is about 467.4540105560.

The spelling of 102144896 in words is "one hundred two million, one hundred forty-four thousand, eight hundred ninety-six".