102300416 has 36 divisors (see below), whose sum is σ = 207580464. Its totient is φ = 50304000.

The previous prime is 102300413. The next prime is 102300433. The reversal of 102300416 is 614003201.

It is a super-2 number, since 2×102300416² = 20930750227546112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102300394 and 102300403.

It is not an unprimeable number, because it can be changed into a prime (102300413) 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 3 ways as a sum of consecutive naturals, for example, 12341 + ... + 18891.

It is an arithmetic number, because the mean of its divisors is an integer number (5766124).

Almost surely, 2^102300416 is an apocalyptic number.

102300416 is a gapful number since it is divisible by the number (16) 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 102300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103790232).

102300416 is an abundant number, since it is smaller than the sum of its proper divisors (105280048).

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

102300416 is an frugal number, since it uses more digits than its factorization.

102300416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 102300416 is about 10114.3668116200. The cubic root of 102300416 is about 467.6911298713.

Adding to 102300416 its reverse (614003201), we get a palindrome (716303617).

The spelling of 102300416 in words is "one hundred two million, three hundred thousand, four hundred sixteen".