102800352 has 48 divisors (see below), whose sum is σ = 273566160. Its totient is φ = 33795072.

The previous prime is 102800329. The next prime is 102800359. The reversal of 102800352 is 253008201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102800359) 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, 327 + ... + 14342.

It is an arithmetic number, because the mean of its divisors is an integer number (5699295).

Almost surely, 2^102800352 is an apocalyptic number.

102800352 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 102800352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136783080).

102800352 is an abundant number, since it is smaller than the sum of its proper divisors (170765808).

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

102800352 is a wasteful number, since it uses less digits than its factorization.

102800352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14755 (or 14747 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 102800352 is about 10139.0508431510. The cubic root of 102800352 is about 468.4517516803.

Adding to 102800352 its reverse (253008201), we get a palindrome (355808553).

The spelling of 102800352 in words is "one hundred two million, eight hundred thousand, three hundred fifty-two".