1097100 has 108 divisors (see below), whose sum is σ = 3656016. Its totient is φ = 274560.

The previous prime is 1097081. The next prime is 1097101. The reversal of 1097100 is 17901.

1097100 = T₁₉₅ + T₁₉₆ + ... + T₂₄₀.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1097101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20674 + ... + 20726.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2^1097100 is an apocalyptic number.

1097100 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 1097100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008).

1097100 is an abundant number, since it is smaller than the sum of its proper divisors (2558916).

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

1097100 is a wasteful number, since it uses less digits than its factorization.

1097100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 1097100 is about 1047.4254150058. The cubic root of 1097100 is about 103.1372161837.

The spelling of 1097100 in words is "one million, ninety-seven thousand, one hundred".