106625456 has 40 divisors (see below), whose sum is σ = 237856800. Its totient is φ = 45356544.

The previous prime is 106625419. The next prime is 106625459. The reversal of 106625456 is 654526601.

It is a super-2 number, since 2×106625456² = 22737975734415872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106625459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11870 + ... + 18818.

It is an arithmetic number, because the mean of its divisors is an integer number (5946420).

Almost surely, 2^106625456 is an apocalyptic number.

106625456 is a gapful number since it is divisible by the number (16) 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 106625456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118928400).

106625456 is an abundant number, since it is smaller than the sum of its proper divisors (131231344).

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

106625456 is a wasteful number, since it uses less digits than its factorization.

106625456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7101 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 106625456 is about 10325.9602943261. The cubic root of 106625456 is about 474.1913569213.

The spelling of 106625456 in words is "one hundred six million, six hundred twenty-five thousand, four hundred fifty-six".