106906348800 has 216 divisors, whose sum is σ = 392015326080. Its totient is φ = 28508313600.

The previous prime is 106906348781. The next prime is 106906348811. The reversal of 106906348800 is 8843609601.

106906348800 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 0 + 634 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×106906348800² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 136536 + ... + 482135.

Almost surely, 2^106906348800 is an apocalyptic number.

106906348800 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 106906348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196007663040).

106906348800 is an abundant number, since it is smaller than the sum of its proper divisors (285108977280).

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

106906348800 is an equidigital number, since it uses as much as digits as its factorization.

106906348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618706 (or 618681 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 106906348800 in words is "one hundred six billion, nine hundred six million, three hundred forty-eight thousand, eight hundred".