11380505100 has 72 divisors (see below), whose sum is σ = 32947349568. Its totient is φ = 3032980800.

The previous prime is 11380505093. The next prime is 11380505113. The reversal of 11380505100 is 150508311.

It is a super-2 number, since 2×11380505100² (a number of 21 digits) contains 22 as substring.

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, 532827 + ... + 553773.

Almost surely, 2^11380505100 is an apocalyptic number.

11380505100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11380505100 is an abundant number, since it is smaller than the sum of its proper divisors (21566844468).

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

11380505100 is a wasteful number, since it uses less digits than its factorization.

11380505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22775 (or 22768 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 11380505100 in words is "eleven billion, three hundred eighty million, five hundred five thousand, one hundred".