102971440 has 80 divisors (see below), whose sum is σ = 281294496. Its totient is φ = 34560000.

The previous prime is 102971423. The next prime is 102971441. The reversal of 102971440 is 44179201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 102971399 and 102971408.

It is not an unprimeable number, because it can be changed into a prime (102971441) 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, 6940 + ... + 15940.

Almost surely, 2^102971440 is an apocalyptic number.

102971440 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 102971440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140647248).

102971440 is an abundant number, since it is smaller than the sum of its proper divisors (178323056).

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

102971440 is a wasteful number, since it uses less digits than its factorization.

102971440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9038 (or 9032 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 102971440 is about 10147.4844173322. The cubic root of 102971440 is about 468.7114850725.

The spelling of 102971440 in words is "one hundred two million, nine hundred seventy-one thousand, four hundred forty".