1143641100 has 288 divisors, whose sum is σ = 3974745600. Its totient is φ = 248371200.

The previous prime is 1143641087. The next prime is 1143641101. The reversal of 1143641100 is 11463411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1143641101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5419995 + ... + 5420205.

It is an arithmetic number, because the mean of its divisors is an integer number (13801200).

Almost surely, 2^1143641100 is an apocalyptic number.

1143641100 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 1143641100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987372800).

1143641100 is an abundant number, since it is smaller than the sum of its proper divisors (2831104500).

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

1143641100 is a wasteful number, since it uses less digits than its factorization.

1143641100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1143641100 is about 33817.7630839179. The cubic root of 1143641100 is about 1045.7549240786.

The spelling of 1143641100 in words is "one billion, one hundred forty-three million, six hundred forty-one thousand, one hundred".