102973728 has 144 divisors (see below), whose sum is σ = 319860576. Its totient is φ = 28753920.

The previous prime is 102973687. The next prime is 102973771. The reversal of 102973728 is 827379201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178176 + ... + 178752.

It is an arithmetic number, because the mean of its divisors is an integer number (2221254).

Almost surely, 2^102973728 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 102973728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159930288).

102973728 is an abundant number, since it is smaller than the sum of its proper divisors (216886848).

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

102973728 is a wasteful number, since it uses less digits than its factorization.

102973728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 102973728 is about 10147.5971540065. The cubic root of 102973728 is about 468.7149565980.

The spelling of 102973728 in words is "one hundred two million, nine hundred seventy-three thousand, seven hundred twenty-eight".