10919552100 has 72 divisors (see below), whose sum is σ = 31695763008. Its totient is φ = 2902492800.

The previous prime is 10919552087. The next prime is 10919552101. The reversal of 10919552100 is 125591901.

It is a happy number.

It is a super-2 number, since 2×10919552100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10919552101) 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, 34782 + ... + 151818.

Almost surely, 2^10919552100 is an apocalyptic number.

10919552100 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 10919552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15847881504).

10919552100 is an abundant number, since it is smaller than the sum of its proper divisors (20776210908).

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

10919552100 is a wasteful number, since it uses less digits than its factorization.

10919552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117365 (or 117358 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 33.

The spelling of 10919552100 in words is "ten billion, nine hundred nineteen million, five hundred fifty-two thousand, one hundred".