106214404221640 has 128 divisors (see below), whose sum is σ = 280770730531200. Its totient is φ = 35651348766720.

The previous prime is 106214404221493. The next prime is 106214404221649. The reversal of 106214404221640 is 46122404412601.

106214404221640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106214404221640² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106214404221640.

It is not an unprimeable number, because it can be changed into a prime (106214404221649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210432691 + ... + 210936829.

It is an arithmetic number, because the mean of its divisors is an integer number (2193521332275).

Almost surely, 2^{106214404221640} is an apocalyptic number.

106214404221640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106214404221640 is an abundant number, since it is smaller than the sum of its proper divisors (174556326309560).

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

106214404221640 is a wasteful number, since it uses less digits than its factorization.

106214404221640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541007 (or 541003 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 106214404221640 in words is "one hundred six trillion, two hundred fourteen billion, four hundred four million, two hundred twenty-one thousand, six hundred forty".