11265158100 has 144 divisors (see below), whose sum is σ = 37396856448. Its totient is φ = 2564751360.

The previous prime is 11265158089. The next prime is 11265158143. The reversal of 11265158100 is 185156211.

It is a super-2 number, since 2×11265158100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529264 + ... + 550136.

It is an arithmetic number, because the mean of its divisors is an integer number (259700392).

Almost surely, 2^11265158100 is an apocalyptic number.

11265158100 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 11265158100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18698428224).

11265158100 is an abundant number, since it is smaller than the sum of its proper divisors (26131698348).

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

11265158100 is a wasteful number, since it uses less digits than its factorization.

11265158100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21154 (or 21147 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 30.

The spelling of 11265158100 in words is "eleven billion, two hundred sixty-five million, one hundred fifty-eight thousand, one hundred".