106356352 has 64 divisors (see below), whose sum is σ = 230583240. Its totient is φ = 48660480.

The previous prime is 106356307. The next prime is 106356373. The reversal of 106356352 is 253653601.

It can be written as a sum of positive squares in 4 ways, for example, as 100480576 + 5875776 = 10024^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106356352² = 22623347221495808, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79852 + ... + 81172.

Almost surely, 2^106356352 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 106356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115291620).

106356352 is an abundant number, since it is smaller than the sum of its proper divisors (124226888).

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

106356352 is a wasteful number, since it uses less digits than its factorization.

106356352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 106356352 is about 10312.9216035031. The cubic root of 106356352 is about 473.7920954976.

The spelling of 106356352 in words is "one hundred six million, three hundred fifty-six thousand, three hundred fifty-two".