102001440 has 192 divisors, whose sum is σ = 338349312. Its totient is φ = 25804800.

The previous prime is 102001433. The next prime is 102001441. The reversal of 102001440 is 44100201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102001441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1397244 + ... + 1397316.

It is an arithmetic number, because the mean of its divisors is an integer number (1762236).

Almost surely, 2^102001440 is an apocalyptic number.

102001440 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 102001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169174656).

102001440 is an abundant number, since it is smaller than the sum of its proper divisors (236347872).

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

102001440 is a wasteful number, since it uses less digits than its factorization.

102001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102001440 is about 10099.5762287336. The cubic root of 102001440 is about 467.2350715681.

Adding to 102001440 its reverse (44100201), we get a palindrome (146101641).

The spelling of 102001440 in words is "one hundred two million, one thousand, four hundred forty".