106312752 has 360 divisors, whose sum is σ = 398776560. Its totient is φ = 26127360.

The previous prime is 106312711. The next prime is 106312769. The reversal of 106312752 is 257213601.

It is a happy number.

106312752 is a `hidden beast` number, since 1 + 0 + 631 + 27 + 5 + 2 = 666.

It is a super-2 number, since 2×106312752² = 22604802475627008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1742802 + ... + 1742862.

Almost surely, 2^106312752 is an apocalyptic number.

106312752 is a gapful number since it is divisible by the number (12) 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 106312752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199388280).

106312752 is an abundant number, since it is smaller than the sum of its proper divisors (292463808).

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

106312752 is a wasteful number, since it uses less digits than its factorization.

106312752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106312752 is about 10310.8075338453. The cubic root of 106312752 is about 473.7273441267.

The spelling of 106312752 in words is "one hundred six million, three hundred twelve thousand, seven hundred fifty-two".