102123431040 has 128 divisors (see below), whose sum is σ = 326272867200. Its totient is φ = 27169800192.

The previous prime is 102123431029. The next prime is 102123431051. The reversal of 102123431040 is 40134321201.

It is an interprime number because it is at equal distance from previous prime (102123431029) and next prime (102123431051).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 102123430998 and 102123431016.

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 15 ways as a sum of consecutive naturals, for example, 769941 + ... + 892779.

It is an arithmetic number, because the mean of its divisors is an integer number (2549006775).

Almost surely, 2^102123431040 is an apocalyptic number.

102123431040 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 102123431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163136433600).

102123431040 is an abundant number, since it is smaller than the sum of its proper divisors (224149436160).

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

102123431040 is a wasteful number, since it uses less digits than its factorization.

102123431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123294 (or 123282 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102123431040 its reverse (40134321201), we get a palindrome (142257752241).

The spelling of 102123431040 in words is "one hundred two billion, one hundred twenty-three million, four hundred thirty-one thousand, forty".