102113352 has 96 divisors (see below), whose sum is σ = 311858400. Its totient is φ = 30935520.

The previous prime is 102113317. The next prime is 102113357. The reversal of 102113352 is 253311201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102113357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24183 + ... + 28089.

It is an arithmetic number, because the mean of its divisors is an integer number (3248525).

Almost surely, 2^102113352 is an apocalyptic number.

102113352 is a gapful number since it is divisible by the number (12) 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 102113352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155929200).

102113352 is an abundant number, since it is smaller than the sum of its proper divisors (209745048).

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

102113352 is a wasteful number, since it uses less digits than its factorization.

102113352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 102113352 is about 10105.1151403633. The cubic root of 102113352 is about 467.4058864760.

Adding to 102113352 its reverse (253311201), we get a palindrome (355424553).

The spelling of 102113352 in words is "one hundred two million, one hundred thirteen thousand, three hundred fifty-two".