106422446100 has 144 divisors (see below), whose sum is σ = 312208017408. Its totient is φ = 27986136960.

The previous prime is 106422446089. The next prime is 106422446183. The reversal of 106422446100 is 1644224601.

It is a happy number.

It is a super-2 number, since 2×106422446100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7150867 + ... + 7165733.

It is an arithmetic number, because the mean of its divisors is an integer number (2168111232).

Almost surely, 2^106422446100 is an apocalyptic number.

106422446100 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 106422446100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156104008704).

106422446100 is an abundant number, since it is smaller than the sum of its proper divisors (205785571308).

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

106422446100 is a wasteful number, since it uses less digits than its factorization.

106422446100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15214 (or 15207 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 106422446100 in words is "one hundred six billion, four hundred twenty-two million, four hundred forty-six thousand, one hundred".