102854720 has 56 divisors (see below), whose sum is σ = 245982744. Its totient is φ = 40964096.

The previous prime is 102854701. The next prime is 102854767. The reversal of 102854720 is 27458201.

It can be written as a sum of positive squares in 4 ways, for example, as 22429696 + 80425024 = 4736^2 + 8968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93212 + ... + 94308.

It is an arithmetic number, because the mean of its divisors is an integer number (4392549).

Almost surely, 2^102854720 is an apocalyptic number.

102854720 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 102854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122991372).

102854720 is an abundant number, since it is smaller than the sum of its proper divisors (143128024).

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

102854720 is a wasteful number, since it uses less digits than its factorization.

102854720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 102854720 is about 10141.7316075708. The cubic root of 102854720 is about 468.5343204516.

The spelling of 102854720 in words is "one hundred two million, eight hundred fifty-four thousand, seven hundred twenty".