11073374100 has 108 divisors (see below), whose sum is σ = 34730560956. Its totient is φ = 2951055360.

The previous prime is 11073374087. The next prime is 11073374131. The reversal of 11073374100 is 147337011.

It can be written as a sum of positive squares in 6 ways, for example, as 50893956 + 11022480144 = 7134^2 + 104988^2 .

It is a super-2 number, since 2×11073374100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2042994 + ... + 2048406.

Almost surely, 2^11073374100 is an apocalyptic number.

11073374100 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 11073374100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365280478).

11073374100 is an abundant number, since it is smaller than the sum of its proper divisors (23657186856).

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

11073374100 is a wasteful number, since it uses less digits than its factorization.

11073374100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 11073374100 in words is "eleven billion, seventy-three million, three hundred seventy-four thousand, one hundred".