106821450120 has 512 divisors, whose sum is σ = 417515212800. Its totient is φ = 21213696000.

The previous prime is 106821450107. The next prime is 106821450137. The reversal of 106821450120 is 21054128601.

It is a super-2 number, since 2×106821450120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27061987 + ... + 27065933.

It is an arithmetic number, because the mean of its divisors is an integer number (815459400).

Almost surely, 2^106821450120 is an apocalyptic number.

106821450120 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 106821450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208757606400).

106821450120 is an abundant number, since it is smaller than the sum of its proper divisors (310693762680).

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

106821450120 is a wasteful number, since it uses less digits than its factorization.

106821450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 106821450120 its reverse (21054128601), we get a palindrome (127875578721).

The spelling of 106821450120 in words is "one hundred six billion, eight hundred twenty-one million, four hundred fifty thousand, one hundred twenty".