108892822500 has 1440 divisors, whose sum is σ = 464885688960. Its totient is φ = 21772800000.

The previous prime is 108892822429. The next prime is 108892822517. The reversal of 108892822500 is 5228298801.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1491682464 + ... + 1491682536.

It is an arithmetic number, because the mean of its divisors is an integer number (322837284).

Almost surely, 2^108892822500 is an apocalyptic number.

108892822500 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 108892822500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232442844480).

108892822500 is an abundant number, since it is smaller than the sum of its proper divisors (355992866460).

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

108892822500 is a wasteful number, since it uses less digits than its factorization.

108892822500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 108892822500 in words is "one hundred eight billion, eight hundred ninety-two million, eight hundred twenty-two thousand, five hundred".