102011302440 has 96 divisors (see below), whose sum is σ = 331891658280. Its totient is φ = 27173892096.

The previous prime is 102011302417. The next prime is 102011302441. The reversal of 102011302440 is 44203110201.

102011302440 is a `hidden beast` number, since 10 + 201 + 13 + 0 + 2 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62309145924 + 39702156516 = 249618^2 + 199254^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102011302441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186112 + ... + 488528.

Almost surely, 2^102011302440 is an apocalyptic number.

102011302440 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 102011302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165945829140).

102011302440 is an abundant number, since it is smaller than the sum of its proper divisors (229880355840).

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

102011302440 is a wasteful number, since it uses less digits than its factorization.

102011302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303371 (or 303364 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102011302440 its reverse (44203110201), we get a palindrome (146214412641).

The spelling of 102011302440 in words is "one hundred two billion, eleven million, three hundred two thousand, four hundred forty".