106225554560 has 64 divisors (see below), whose sum is σ = 253984896000. Its totient is φ = 42483624960.

The previous prime is 106225554557. The next prime is 106225554569. The reversal of 106225554560 is 65455522601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106225554560² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106225554569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8102891 + ... + 8115989.

It is an arithmetic number, because the mean of its divisors is an integer number (3968514000).

Almost surely, 2^106225554560 is an apocalyptic number.

106225554560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106225554560 is an abundant number, since it is smaller than the sum of its proper divisors (147759341440).

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

106225554560 is a wasteful number, since it uses less digits than its factorization.

106225554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25789 (or 25777 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 106225554560 in words is "one hundred six billion, two hundred twenty-five million, five hundred fifty-four thousand, five hundred sixty".