106906867200 has 1440 divisors, whose sum is σ = 468540547200. Its totient is φ = 23797186560.

The previous prime is 106906867181. The next prime is 106906867201. The reversal of 106906867200 is 2768609601.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×106906867200² (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 not an unprimeable number, because it can be changed into a prime (106906867201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 999129547 + ... + 999129653.

It is an arithmetic number, because the mean of its divisors is an integer number (325375380).

Almost surely, 2^106906867200 is an apocalyptic number.

106906867200 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 106906867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234270273600).

106906867200 is an abundant number, since it is smaller than the sum of its proper divisors (361633680000).

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

106906867200 is a wasteful number, since it uses less digits than its factorization.

106906867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 106906867200 in words is "one hundred six billion, nine hundred six million, eight hundred sixty-seven thousand, two hundred".