106133218128400 has 120 divisors (see below), whose sum is σ = 260593337101824. Its totient is φ = 41520816460800.

The previous prime is 106133218128361. The next prime is 106133218128407. The reversal of 106133218128400 is 4821812331601.

It is a super-2 number, since 2×106133218128400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (106133218128407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24768780 + ... + 28736020.

Almost surely, 2^{106133218128400} is an apocalyptic number.

106133218128400 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 106133218128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130296668550912).

106133218128400 is an abundant number, since it is smaller than the sum of its proper divisors (154460118973424).

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

106133218128400 is a wasteful number, since it uses less digits than its factorization.

106133218128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968729 (or 3968718 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 106133218128400 in words is "one hundred six trillion, one hundred thirty-three billion, two hundred eighteen million, one hundred twenty-eight thousand, four hundred".