102133440 has 112 divisors (see below), whose sum is σ = 360334560. Its totient is φ = 27233280.

The previous prime is 102133403. The next prime is 102133441. The reversal of 102133440 is 44331201.

102133440 is a `hidden beast` number, since 10 + 213 + 3 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2730 + ... + 14550.

Almost surely, 2^102133440 is an apocalyptic number.

102133440 is a gapful number since it is divisible by the number (10) 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 102133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180167280).

102133440 is an abundant number, since it is smaller than the sum of its proper divisors (258201120).

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

102133440 is a wasteful number, since it uses less digits than its factorization.

102133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11847 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102133440 is about 10106.1090435439. The cubic root of 102133440 is about 467.4365342273.

Adding to 102133440 its reverse (44331201), we get a palindrome (146464641).

The spelling of 102133440 in words is "one hundred two million, one hundred thirty-three thousand, four hundred forty".