11106151100 has 72 divisors (see below), whose sum is σ = 26350011408. Its totient is φ = 4029580800.

The previous prime is 11106151093. The next prime is 11106151117. The reversal of 11106151100 is 115160111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491654 + ... + 513746.

Almost surely, 2^11106151100 is an apocalyptic number.

11106151100 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 11106151100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175005704).

11106151100 is an abundant number, since it is smaller than the sum of its proper divisors (15243860308).

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

11106151100 is a wasteful number, since it uses less digits than its factorization.

11106151100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22575 (or 22568 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 17.

The spelling of 11106151100 in words is "eleven billion, one hundred six million, one hundred fifty-one thousand, one hundred".