106673226 has 64 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 31075200.

The previous prime is 106673213. The next prime is 106673251. The reversal of 106673226 is 622376601.

It is a super-2 number, since 2×106673226² = 22758354290494152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213525 + ... + 214023.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^106673226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106673226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

106673226 is an abundant number, since it is smaller than the sum of its proper divisors (135246774).

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

106673226 is a wasteful number, since it uses less digits than its factorization.

106673226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 106673226 is about 10328.2731373643. The cubic root of 106673226 is about 474.2621615864.

The spelling of 106673226 in words is "one hundred six million, six hundred seventy-three thousand, two hundred twenty-six".