1141764100 has 81 divisors (see below), whose sum is σ = 2583832671. Its totient is φ = 437918400.

The previous prime is 1141764089. The next prime is 1141764121. The reversal of 1141764100 is 14671411.

The square root of 1141764100 is 33790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4186116 + 1137577984 = 2046^2 + 33728^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10474846 + ... + 10474954.

Almost surely, 2^1141764100 is an apocalyptic number.

1141764100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1141764100 is the 33790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141764100

1141764100 is an abundant number, since it is smaller than the sum of its proper divisors (1442068571).

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

1141764100 is a wasteful number, since it uses less digits than its factorization.

1141764100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The cubic root of 1141764100 is about 1045.1824960001.

Multiplying 1141764100 by its sum of digits (25), we get a square (28544102500 = 168950²).

1141764100 divided by its sum of digits (25) gives a square (45670564 = 6758²).

The spelling of 1141764100 in words is "one billion, one hundred forty-one million, seven hundred sixty-four thousand, one hundred".