102133416 has 128 divisors (see below), whose sum is σ = 337167360. Its totient is φ = 24960000.

The previous prime is 102133403. The next prime is 102133441. The reversal of 102133416 is 614331201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102133392 and 102133401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29791 + ... + 33041.

It is an arithmetic number, because the mean of its divisors is an integer number (2634120).

Almost surely, 2^102133416 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 102133416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168583680).

102133416 is an abundant number, since it is smaller than the sum of its proper divisors (235033944).

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

102133416 is a wasteful number, since it uses less digits than its factorization.

102133416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 102133416 is about 10106.1078561432. The cubic root of 102133416 is about 467.4364976135.

Adding to 102133416 its reverse (614331201), we get a palindrome (716464617).

The spelling of 102133416 in words is "one hundred two million, one hundred thirty-three thousand, four hundred sixteen".