106432640 has 32 divisors (see below), whose sum is σ = 254442060. Its totient is φ = 42572800.

The previous prime is 106432633. The next prime is 106432673. The reversal of 106432640 is 46234601.

It can be written as a sum of positive squares in 2 ways, for example, as 95726656 + 10705984 = 9784^2 + 3272^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106432640² = 22655813714739200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82511 + ... + 83790.

Almost surely, 2^106432640 is an apocalyptic number.

106432640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106432640 is an abundant number, since it is smaller than the sum of its proper divisors (148009420).

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

106432640 is an equidigital number, since it uses as much as digits as its factorization.

106432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166320 (or 166308 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 106432640 is about 10316.6196014005. The cubic root of 106432640 is about 473.9053500176.

The spelling of 106432640 in words is "one hundred six million, four hundred thirty-two thousand, six hundred forty".