102788896 has 24 divisors (see below), whose sum is σ = 231275520. Its totient is φ = 44052288.

The previous prime is 102788893. The next prime is 102788899. The reversal of 102788896 is 698887201.

It is an interprime number because it is at equal distance from previous prime (102788893) and next prime (102788899).

It is not an unprimeable number, because it can be changed into a prime (102788893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229216 + ... + 229663.

It is an arithmetic number, because the mean of its divisors is an integer number (9636480).

Almost surely, 2^102788896 is an apocalyptic number.

102788896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102788896 is an abundant number, since it is smaller than the sum of its proper divisors (128486624).

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

102788896 is an equidigital number, since it uses as much as digits as its factorization.

102788896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458896 (or 458888 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

The square root of 102788896 is about 10138.4858830103. The cubic root of 102788896 is about 468.4343497210.

It can be divided in two parts, 102788 and 896, that added together give a square (103684 = 322²).

The spelling of 102788896 in words is "one hundred two million, seven hundred eighty-eight thousand, eight hundred ninety-six".