102379296 has 144 divisors (see below), whose sum is σ = 297833760. Its totient is φ = 30689280.

The previous prime is 102379237. The next prime is 102379297. The reversal of 102379296 is 692973201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102379297) 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 23 ways as a sum of consecutive naturals, for example, 2497036 + ... + 2497076.

It is an arithmetic number, because the mean of its divisors is an integer number (2068290).

Almost surely, 2^102379296 is an apocalyptic number.

102379296 is a gapful number since it is divisible by the number (16) 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 102379296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148916880).

102379296 is an abundant number, since it is smaller than the sum of its proper divisors (195454464).

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

102379296 is a wasteful number, since it uses less digits than its factorization.

102379296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 102379296 is about 10118.2654640012. The cubic root of 102379296 is about 467.8113053308.

The spelling of 102379296 in words is "one hundred two million, three hundred seventy-nine thousand, two hundred ninety-six".