102140111304 has 192 divisors, whose sum is σ = 346175856000. Its totient is φ = 26430888960.

The previous prime is 102140111273. The next prime is 102140111317. The reversal of 102140111304 is 403111041201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457092 + ... + 1525580.

It is an arithmetic number, because the mean of its divisors is an integer number (1802999250).

Almost surely, 2^102140111304 is an apocalyptic number.

102140111304 is a gapful number since it is divisible by the number (14) 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 102140111304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173087928000).

102140111304 is an abundant number, since it is smaller than the sum of its proper divisors (244035744696).

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

102140111304 is a wasteful number, since it uses less digits than its factorization.

102140111304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68788 (or 68781 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102140111304 its reverse (403111041201), we get a palindrome (505251152505).

It can be divided in two parts, 102140 and 111304, that added together give a square (213444 = 462²).

The spelling of 102140111304 in words is "one hundred two billion, one hundred forty million, one hundred eleven thousand, three hundred four".