102124132440 has 128 divisors (see below), whose sum is σ = 334519787520. Its totient is φ = 24735488000.

The previous prime is 102124132399. The next prime is 102124132457. The reversal of 102124132440 is 44231421201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102124132440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485712 + ... + 1552928.

It is an arithmetic number, because the mean of its divisors is an integer number (2613435840).

Almost surely, 2^102124132440 is an apocalyptic number.

102124132440 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 102124132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167259893760).

102124132440 is an abundant number, since it is smaller than the sum of its proper divisors (232395655080).

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

102124132440 is a wasteful number, since it uses less digits than its factorization.

102124132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68393 (or 68389 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102124132440 its reverse (44231421201), we get a palindrome (146355553641).

The spelling of 102124132440 in words is "one hundred two billion, one hundred twenty-four million, one hundred thirty-two thousand, four hundred forty".