106346752 has 36 divisors (see below), whose sum is σ = 214014976. Its totient is φ = 52738560.

The previous prime is 106346749. The next prime is 106346767. The reversal of 106346752 is 257643601.

It is a happy number.

It is a super-2 number, since 2×106346752² = 22619263321899008, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 30877 + ... + 34147.

Almost surely, 2^106346752 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 106346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107007488).

106346752 is an abundant number, since it is smaller than the sum of its proper divisors (107668224).

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

106346752 is an equidigital number, since it uses as much as digits as its factorization.

106346752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 106346752 is about 10312.4561574826. The cubic root of 106346752 is about 473.7778398345. Note that the first 3 decimals are identical.

The spelling of 106346752 in words is "one hundred six million, three hundred forty-six thousand, seven hundred fifty-two".