103822000128 has 720 divisors, whose sum is σ = 389766795264. Its totient is φ = 26754416640.

The previous prime is 103822000123. The next prime is 103822000129. The reversal of 103822000128 is 821000228301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103822000123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 817496001 + ... + 817496127.

Almost surely, 2^103822000128 is an apocalyptic number.

103822000128 is a gapful number since it is divisible by the number (18) 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 103822000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194883397632).

103822000128 is an abundant number, since it is smaller than the sum of its proper divisors (285944795136).

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

103822000128 is an frugal number, since it uses more digits than its factorization.

103822000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 103822000128 its reverse (821000228301), we get a palindrome (924822228429).

The spelling of 103822000128 in words is "one hundred three billion, eight hundred twenty-two million, one hundred twenty-eight", and thus it is an aban number.