102889440 has 240 divisors, whose sum is σ = 385296912. Its totient is φ = 25767936.

The previous prime is 102889433. The next prime is 102889441. The reversal of 102889440 is 44988201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102889395 and 102889404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102889441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220087 + ... + 220553.

Almost surely, 2^102889440 is an apocalyptic number.

102889440 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 102889440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192648456).

102889440 is an abundant number, since it is smaller than the sum of its proper divisors (282407472).

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

102889440 is a wasteful number, since it uses less digits than its factorization.

102889440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 102889440 is about 10143.4432023845. The cubic root of 102889440 is about 468.5870345501.

The spelling of 102889440 in words is "one hundred two million, eight hundred eighty-nine thousand, four hundred forty".