106172220 has 240 divisors, whose sum is σ = 383983488. Its totient is φ = 21732480.

The previous prime is 106172207. The next prime is 106172249. The reversal of 106172220 is 22271601.

It is a super-2 number, since 2×106172220² = 22545080599456800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1584627 + ... + 1584693.

Almost surely, 2^106172220 is an apocalyptic number.

106172220 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 106172220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191991744).

106172220 is an abundant number, since it is smaller than the sum of its proper divisors (277811268).

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

106172220 is a wasteful number, since it uses less digits than its factorization.

106172220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 106172220 is about 10303.9904891260. The cubic root of 106172220 is about 473.5185162251.

The spelling of 106172220 in words is "one hundred six million, one hundred seventy-two thousand, two hundred twenty".