102210720 has 96 divisors (see below), whose sum is σ = 332398080. Its totient is φ = 26373120.

The previous prime is 102210697. The next prime is 102210733. The reversal of 102210720 is 27012201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102210720.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11446 + ... + 18314.

It is an arithmetic number, because the mean of its divisors is an integer number (3462480).

Almost surely, 2^102210720 is an apocalyptic number.

102210720 is a gapful number since it is divisible by the number (10) 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 102210720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166199040).

102210720 is an abundant number, since it is smaller than the sum of its proper divisors (230187360).

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

102210720 is a wasteful number, since it uses less digits than its factorization.

102210720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6918 (or 6910 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 102210720 is about 10109.9317505115. The cubic root of 102210720 is about 467.5544009062.

Adding to 102210720 its reverse (27012201), we get a palindrome (129222921).

The spelling of 102210720 in words is "one hundred two million, two hundred ten thousand, seven hundred twenty".