106646456 has 64 divisors (see below), whose sum is σ = 239198400. Its totient is φ = 43610112.

The previous prime is 106646443. The next prime is 106646459. The reversal of 106646456 is 654646601.

It is a super-2 number, since 2×106646456² = 22746933154719872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106646459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157190 + ... + 157866.

It is an arithmetic number, because the mean of its divisors is an integer number (3737475).

Almost surely, 2^106646456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106646456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119599200).

106646456 is an abundant number, since it is smaller than the sum of its proper divisors (132551944).

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

106646456 is a wasteful number, since it uses less digits than its factorization.

106646456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 106646456 is about 10326.9770988417. The cubic root of 106646456 is about 474.2224857130. Note that the first 3 decimals are identical.

It can be divided in two parts, 1066464 and 56, that multiplied together give a square (59721984 = 7728²).

The spelling of 106646456 in words is "one hundred six million, six hundred forty-six thousand, four hundred fifty-six".