191315840100 has 432 divisors, whose sum is σ = 712976866560. Its totient is φ = 39158380800.

The previous prime is 191315840071. The next prime is 191315840101. The reversal of 191315840100 is 1048513191.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (191315840101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10825071 + ... + 10842729.

Almost surely, 2^191315840100 is an apocalyptic number.

191315840100 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 191315840100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356488433280).

191315840100 is an abundant number, since it is smaller than the sum of its proper divisors (521661026460).

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

191315840100 is a wasteful number, since it uses less digits than its factorization.

191315840100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17768 (or 17754 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 191315840100 in words is "one hundred ninety-one billion, three hundred fifteen million, eight hundred forty thousand, one hundred".