102294792 has 64 divisors (see below), whose sum is σ = 293337600. Its totient is φ = 32996160.

The previous prime is 102294791. The next prime is 102294793. The reversal of 102294792 is 297492201.

It is an interprime number because it is at equal distance from previous prime (102294791) and next prime (102294793).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102294791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943 + ... + 14334.

It is an arithmetic number, because the mean of its divisors is an integer number (4583400).

Almost surely, 2^102294792 is an apocalyptic number.

102294792 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 102294792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146668800).

102294792 is an abundant number, since it is smaller than the sum of its proper divisors (191042808).

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

102294792 is a wasteful number, since it uses less digits than its factorization.

102294792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15323 (or 15313 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 102294792 is about 10114.0887874291. The cubic root of 102294792 is about 467.6825592215.

The spelling of 102294792 in words is "one hundred two million, two hundred ninety-four thousand, seven hundred ninety-two".