102348064 has 72 divisors (see below), whose sum is σ = 252476028. Its totient is φ = 40481280.

The previous prime is 102348023. The next prime is 102348097. The reversal of 102348064 is 460843201.

It can be written as a sum of positive squares in 2 ways, for example, as 102171664 + 176400 = 10108^2 + 420^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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 11 ways as a sum of consecutive naturals, for example, 17874 + ... + 22894.

Almost surely, 2^102348064 is an apocalyptic number.

102348064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102348064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126238014).

102348064 is an abundant number, since it is smaller than the sum of its proper divisors (150127964).

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

102348064 is a wasteful number, since it uses less digits than its factorization.

102348064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 102348064 is about 10116.7219987504. The cubic root of 102348064 is about 467.7637300585.

The spelling of 102348064 in words is "one hundred two million, three hundred forty-eight thousand, sixty-four".