1097114116 has 72 divisors (see below), whose sum is σ = 2276320536. Its totient is φ = 461260800.

The previous prime is 1097114113. The next prime is 1097114129. The reversal of 1097114116 is 6114117901.

It can be written as a sum of positive squares in 4 ways, for example, as 282240000 + 814874116 = 16800^2 + 28546^2 .

It is a super-2 number, since 2×1097114116² = 2407318767052922912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1097114113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3107796 + ... + 3108148.

It is an arithmetic number, because the mean of its divisors is an integer number (31615563).

Almost surely, 2^1097114116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097114116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138160268).

1097114116 is an abundant number, since it is smaller than the sum of its proper divisors (1179206420).

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

1097114116 is a wasteful number, since it uses less digits than its factorization.

1097114116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 31.

The square root of 1097114116 is about 33122.7129927486. The cubic root of 1097114116 is about 1031.3765852520.

The spelling of 1097114116 in words is "one billion, ninety-seven million, one hundred fourteen thousand, one hundred sixteen".