106307952 has 20 divisors (see below), whose sum is σ = 274629000. Its totient is φ = 35435968.

The previous prime is 106307951. The next prime is 106307963. The reversal of 106307952 is 259703601.

It is a super-2 number, since 2×106307952² = 22602761316868608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106307951) by changing a digit.

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, 1107327 + ... + 1107422.

It is an arithmetic number, because the mean of its divisors is an integer number (13731450).

Almost surely, 2^106307952 is an apocalyptic number.

106307952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106307952 is an abundant number, since it is smaller than the sum of its proper divisors (168321048).

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

106307952 is a wasteful number, since it uses less digits than its factorization.

106307952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214760 (or 2214754 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 106307952 is about 10310.5747657441. The cubic root of 106307952 is about 473.7202144537.

The spelling of 106307952 in words is "one hundred six million, three hundred seven thousand, nine hundred fifty-two".