1158864100 has 72 divisors (see below), whose sum is σ = 2549781248. Its totient is φ = 457142400.

The previous prime is 1158864073. The next prime is 1158864137. The reversal of 1158864100 is 14688511.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3500935 + ... + 3501265.

Almost surely, 2^1158864100 is an apocalyptic number.

1158864100 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 1158864100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274890624).

1158864100 is an abundant number, since it is smaller than the sum of its proper divisors (1390917148).

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

1158864100 is a wasteful number, since it uses less digits than its factorization.

1158864100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 1158864100 is about 34042.0930613850. The cubic root of 1158864100 is about 1050.3744998215.

The spelling of 1158864100 in words is "one billion, one hundred fifty-eight million, eight hundred sixty-four thousand, one hundred".