106008440800 has 36 divisors (see below), whose sum is σ = 258793108056. Its totient is φ = 42403376000.

The previous prime is 106008440779. The next prime is 106008440849. The reversal of 106008440800 is 8044800601.

It is a super-2 number, since 2×106008440800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66254476 + ... + 66256075.

It is an arithmetic number, because the mean of its divisors is an integer number (7188697446).

Almost surely, 2^106008440800 is an apocalyptic number.

106008440800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106008440800 is an abundant number, since it is smaller than the sum of its proper divisors (152784667256).

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

106008440800 is a wasteful number, since it uses less digits than its factorization.

106008440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132510571 (or 132510558 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 106008440800 in words is "one hundred six billion, eight million, four hundred forty thousand, eight hundred".