106993985280 has 1728 divisors, whose sum is σ = 473518338048. Its totient is φ = 20313538560.

The previous prime is 106993985279. The next prime is 106993985291. The reversal of 106993985280 is 82589399601.

It is a happy number.

It is a super-2 number, since 2×106993985280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1289084119 + ... + 1289084201.

It is an arithmetic number, because the mean of its divisors is an integer number (274026816).

Almost surely, 2^106993985280 is an apocalyptic number.

106993985280 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 106993985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236759169024).

106993985280 is an abundant number, since it is smaller than the sum of its proper divisors (366524352768).

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

106993985280 is a wasteful number, since it uses less digits than its factorization.

106993985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 106993985280 in words is "one hundred six billion, nine hundred ninety-three million, nine hundred eighty-five thousand, two hundred eighty".