106271352 has 160 divisors (see below), whose sum is σ = 344211120. Its totient is φ = 30274560.

The previous prime is 106271329. The next prime is 106271359. The reversal of 106271352 is 253172601.

It is a happy number.

106271352 is a `hidden beast` number, since 1 + 0 + 627 + 1 + 35 + 2 = 666.

It is a super-2 number, since 2×106271352² = 22587200511815808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106271359) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 120738 + ... + 121614.

Almost surely, 2^106271352 is an apocalyptic number.

106271352 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 106271352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172105560).

106271352 is an abundant number, since it is smaller than the sum of its proper divisors (237939768).

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

106271352 is a wasteful number, since it uses less digits than its factorization.

106271352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 910 counting only the distinct ones).

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

The square root of 106271352 is about 10308.7997361478. The cubic root of 106271352 is about 473.6658436387.

The spelling of 106271352 in words is "one hundred six million, two hundred seventy-one thousand, three hundred fifty-two".