102947328 has 160 divisors (see below), whose sum is σ = 332925120. Its totient is φ = 31150080.

The previous prime is 102947227. The next prime is 102947329. The reversal of 102947328 is 823749201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102947292 and 102947301.

It is not an unprimeable number, because it can be changed into a prime (102947329) 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, 151726 + ... + 152402.

It is an arithmetic number, because the mean of its divisors is an integer number (2080782).

Almost surely, 2^102947328 is an apocalyptic number.

102947328 is a gapful number since it is divisible by the number (18) 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 102947328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166462560).

102947328 is an abundant number, since it is smaller than the sum of its proper divisors (229977792).

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

102947328 is an equidigital number, since it uses as much as digits as its factorization.

102947328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 102947328 is about 10146.2962700682. The cubic root of 102947328 is about 468.6748974078.

The spelling of 102947328 in words is "one hundred two million, nine hundred forty-seven thousand, three hundred twenty-eight".