106172416 has 117 divisors (see below), whose sum is σ = 258188511. Its totient is φ = 43524096.

The previous prime is 106172413. The next prime is 106172459. The reversal of 106172416 is 614271601.

The square root of 106172416 is 10304.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×106172416² = 22545163838554112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (106172413) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4616181 + ... + 4616203.

Almost surely, 2^106172416 is an apocalyptic number.

106172416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106172416 is the 10304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106172416

106172416 is an abundant number, since it is smaller than the sum of its proper divisors (152016095).

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

106172416 is an frugal number, since it uses more digits than its factorization.

106172416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The cubic root of 106172416 is about 473.5188076057.

The spelling of 106172416 in words is "one hundred six million, one hundred seventy-two thousand, four hundred sixteen".