11145351100 has 72 divisors (see below), whose sum is σ = 26086576880. Its totient is φ = 4108769280.

The previous prime is 11145351097. The next prime is 11145351103. The reversal of 11145351100 is 115354111.

It is an interprime number because it is at equal distance from previous prime (11145351097) and next prime (11145351103).

It is a super-2 number, since 2×11145351100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11145351103) 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, 868531 + ... + 881269.

Almost surely, 2^11145351100 is an apocalyptic number.

11145351100 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 11145351100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13043288440).

11145351100 is an abundant number, since it is smaller than the sum of its proper divisors (14941225780).

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

11145351100 is a wasteful number, since it uses less digits than its factorization.

11145351100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13439 (or 13432 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The spelling of 11145351100 in words is "eleven billion, one hundred forty-five million, three hundred fifty-one thousand, one hundred".