102930912 has 288 divisors, whose sum is σ = 363976704. Its totient is φ = 27993600.

The previous prime is 102930853. The next prime is 102930941. The reversal of 102930912 is 219039201.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1687362 + ... + 1687422.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 2^102930912 is an apocalyptic number.

102930912 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 102930912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

102930912 is an abundant number, since it is smaller than the sum of its proper divisors (261045792).

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

102930912 is an equidigital number, since it uses as much as digits as its factorization.

102930912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 102930912 is about 10145.4872726745. The cubic root of 102930912 is about 468.6499844215.

The spelling of 102930912 in words is "one hundred two million, nine hundred thirty thousand, nine hundred twelve".