102024792 has 64 divisors (see below), whose sum is σ = 284457600. Its totient is φ = 33881760.

The previous prime is 102024779. The next prime is 102024817. The reversal of 102024792 is 297420201.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70783 + ... + 72209.

It is an arithmetic number, because the mean of its divisors is an integer number (4444650).

Almost surely, 2^102024792 is an apocalyptic number.

102024792 is a gapful number since it is divisible by the number (12) 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 102024792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142228800).

102024792 is an abundant number, since it is smaller than the sum of its proper divisors (182432808).

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

102024792 is a wasteful number, since it uses less digits than its factorization.

102024792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1763 counting only the distinct ones).

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

The square root of 102024792 is about 10100.7322506836. The cubic root of 102024792 is about 467.2707247931.

Adding to 102024792 its reverse (297420201), we get a palindrome (399444993).

The spelling of 102024792 in words is "one hundred two million, twenty-four thousand, seven hundred ninety-two".