102799224 has 192 divisors, whose sum is σ = 323481600. Its totient is φ = 29203200.

The previous prime is 102799223. The next prime is 102799241. The reversal of 102799224 is 422997201.

It is a super-3 number, since 3×102799224³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102799223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1301217 + ... + 1301295.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 2^102799224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102799224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

102799224 is an abundant number, since it is smaller than the sum of its proper divisors (220682376).

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

102799224 is a wasteful number, since it uses less digits than its factorization.

102799224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 179 counting only the distinct ones).

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

The square root of 102799224 is about 10138.9952164896. The cubic root of 102799224 is about 468.4500382766.

It can be divided in two parts, 10279 and 9224, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 102799224 in words is "one hundred two million, seven hundred ninety-nine thousand, two hundred twenty-four".