102133024 has 48 divisors (see below), whose sum is σ = 236029248. Its totient is φ = 42584832.

The previous prime is 102133013. The next prime is 102133069. The reversal of 102133024 is 420331201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102132989 and 102133007.

It is an unprimeable number.

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, 2127 + ... + 14449.

It is an arithmetic number, because the mean of its divisors is an integer number (4917276).

Almost surely, 2^102133024 is an apocalyptic number.

102133024 is a gapful number since it is divisible by the number (14) 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 102133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118014624).

102133024 is an abundant number, since it is smaller than the sum of its proper divisors (133896224).

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

102133024 is a wasteful number, since it uses less digits than its factorization.

102133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12377 (or 12369 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 102133024 is about 10106.0884619125. The cubic root of 102133024 is about 467.4358995874.

Adding to 102133024 its reverse (420331201), we get a palindrome (522464225).

The spelling of 102133024 in words is "one hundred two million, one hundred thirty-three thousand, twenty-four".