102993072 has 320 divisors, whose sum is σ = 369976320. Its totient is φ = 23887872.

The previous prime is 102993049. The next prime is 102993073. The reversal of 102993072 is 270399201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102993073) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1410828 + ... + 1410900.

It is an arithmetic number, because the mean of its divisors is an integer number (1156176).

Almost surely, 2^102993072 is an apocalyptic number.

102993072 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 102993072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184988160).

102993072 is an abundant number, since it is smaller than the sum of its proper divisors (266983248).

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

102993072 is a wasteful number, since it uses less digits than its factorization.

102993072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 102993072 is about 10148.5502412906. The cubic root of 102993072 is about 468.7443047130.

The spelling of 102993072 in words is "one hundred two million, nine hundred ninety-three thousand, seventy-two".