104301001140 has 288 divisors, whose sum is σ = 343235708928. Its totient is φ = 23595264000.

The previous prime is 104301001093. The next prime is 104301001169. The reversal of 104301001140 is 41100103401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157792410 + ... + 157793070.

It is an arithmetic number, because the mean of its divisors is an integer number (1191790656).

Almost surely, 2^104301001140 is an apocalyptic number.

104301001140 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 104301001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171617854464).

104301001140 is an abundant number, since it is smaller than the sum of its proper divisors (238934707788).

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

104301001140 is a wasteful number, since it uses less digits than its factorization.

104301001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 104301001140 its reverse (41100103401), we get a palindrome (145401104541).

The spelling of 104301001140 in words is "one hundred four billion, three hundred one million, one thousand, one hundred forty".