102053312 has 56 divisors (see below), whose sum is σ = 216859104. Its totient is φ = 47480832.

The previous prime is 102053311. The next prime is 102053317. The reversal of 102053312 is 213350201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102053311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105053 + ... + 106019.

It is an arithmetic number, because the mean of its divisors is an integer number (3872484).

Almost surely, 2^102053312 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 102053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108429552).

102053312 is an abundant number, since it is smaller than the sum of its proper divisors (114805792).

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

102053312 is an equidigital number, since it uses as much as digits as its factorization.

102053312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 102053312 is about 10102.1439308693. The cubic root of 102053312 is about 467.3142610069.

The spelling of 102053312 in words is "one hundred two million, fifty-three thousand, three hundred twelve".