102796992 has 224 divisors, whose sum is σ = 331622400. Its totient is φ = 31104000.

The previous prime is 102796957. The next prime is 102796997. The reversal of 102796992 is 299697201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102796997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017742 + ... + 1017842.

Almost surely, 2^102796992 is an apocalyptic number.

102796992 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 102796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165811200).

102796992 is an abundant number, since it is smaller than the sum of its proper divisors (228825408).

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

102796992 is a wasteful number, since it uses less digits than its factorization.

102796992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 102796992 is about 10138.8851458136. The cubic root of 102796992 is about 468.4466478877.

It can be divided in two parts, 10279 and 6992, that added together give a palindrome (17271).

The spelling of 102796992 in words is "one hundred two million, seven hundred ninety-six thousand, nine hundred ninety-two".