1140059100 has 144 divisors (see below), whose sum is σ = 3605769216. Its totient is φ = 276864000.

The previous prime is 1140059099. The next prime is 1140059113. The reversal of 1140059100 is 19500411.

It is a congruent number.

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, 154495 + ... + 161705.

It is an arithmetic number, because the mean of its divisors is an integer number (25040064).

Almost surely, 2^1140059100 is an apocalyptic number.

1140059100 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 1140059100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802884608).

1140059100 is an abundant number, since it is smaller than the sum of its proper divisors (2465710116).

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

1140059100 is a wasteful number, since it uses less digits than its factorization.

1140059100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7276 (or 7269 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 1140059100 is about 33764.7612163925. The cubic root of 1140059100 is about 1044.6619786905.

Adding to 1140059100 its reverse (19500411), we get a palindrome (1159559511).

It can be divided in two parts, 11400 and 59100, that added together give a triangular number (70500 = T₃₇₅).

The spelling of 1140059100 in words is "one billion, one hundred forty million, fifty-nine thousand, one hundred".