102079440 has 240 divisors, whose sum is σ = 365601600. Its totient is φ = 26459136.

The previous prime is 102079433. The next prime is 102079487. The reversal of 102079440 is 44970201.

It is a happy number.

102079440 is a `hidden beast` number, since 10 + 207 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1146916 + ... + 1147004.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^102079440 is an apocalyptic number.

102079440 is a gapful number since it is divisible by the number (10) 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 102079440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

102079440 is an abundant number, since it is smaller than the sum of its proper divisors (263522160).

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

102079440 is an equidigital number, since it uses as much as digits as its factorization.

102079440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102079440 is about 10103.4370389487. The cubic root of 102079440 is about 467.3541386778.

The spelling of 102079440 in words is "one hundred two million, seventy-nine thousand, four hundred forty".