1157100 has 144 divisors (see below), whose sum is σ = 4166400. Its totient is φ = 241920.

The previous prime is 1157099. The next prime is 1157111. The reversal of 1157100 is 17511.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1157100.

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, 39886 + ... + 39914.

2^1157100 is an apocalyptic number.

1157100 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 1157100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083200).

1157100 is an abundant number, since it is smaller than the sum of its proper divisors (3009300).

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

1157100 is a wasteful number, since it uses less digits than its factorization.

1157100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 15.

The square root of 1157100 is about 1075.6858277397. The cubic root of 1157100 is about 104.9841245840.

The spelling of 1157100 in words is "one million, one hundred fifty-seven thousand, one hundred".