102724146 has 64 divisors (see below), whose sum is σ = 274636800. Its totient is φ = 27803088.

The previous prime is 102724129. The next prime is 102724163. The reversal of 102724146 is 641427201.

It is an interprime number because it is at equal distance from previous prime (102724129) and next prime (102724163).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31 + ... + 14333.

It is an arithmetic number, because the mean of its divisors is an integer number (4291200).

Almost surely, 2^102724146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102724146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137318400).

102724146 is an abundant number, since it is smaller than the sum of its proper divisors (171912654).

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

102724146 is a wasteful number, since it uses less digits than its factorization.

102724146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14340 (or 14334 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 102724146 is about 10135.2921023521. The cubic root of 102724146 is about 468.3359684872.

The spelling of 102724146 in words is "one hundred two million, seven hundred twenty-four thousand, one hundred forty-six".