106221158000 has 40 divisors (see below), whose sum is σ = 256842764880. Its totient is φ = 42488462400.

The previous prime is 106221157993. The next prime is 106221158041. The reversal of 106221158000 is 851122601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106221158000² (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 7 ways as a sum of consecutive naturals, for example, 26553290 + ... + 26557289.

It is an arithmetic number, because the mean of its divisors is an integer number (6421069122).

Almost surely, 2^106221158000 is an apocalyptic number.

106221158000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106221158000 is an abundant number, since it is smaller than the sum of its proper divisors (150621606880).

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

106221158000 is an equidigital number, since it uses as much as digits as its factorization.

106221158000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53110602 (or 53110586 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

It can be divided in two parts, 1062211 and 58000, that added together give a palindrome (1120211).

The spelling of 106221158000 in words is "one hundred six billion, two hundred twenty-one million, one hundred fifty-eight thousand".