106816032 has 72 divisors (see below), whose sum is σ = 321640956. Its totient is φ = 33509376.

The previous prime is 106816027. The next prime is 106816037. The reversal of 106816032 is 230618601.

It is an interprime number because it is at equal distance from previous prime (106816027) and next prime (106816037).

It can be written as a sum of positive squares in 2 ways, for example, as 100881936 + 5934096 = 10044^2 + 2436^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106816032² = 22819329384450048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106815987 and 106816005.

It is not an unprimeable number, because it can be changed into a prime (106816037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6013 + ... + 15804.

Almost surely, 2^106816032 is an apocalyptic number.

106816032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106816032 is an abundant number, since it is smaller than the sum of its proper divisors (214824924).

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

106816032 is a wasteful number, since it uses less digits than its factorization.

106816032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21850 (or 21839 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106816032 is about 10335.1841783299. The cubic root of 106816032 is about 474.4737025839.

The spelling of 106816032 in words is "one hundred six million, eight hundred sixteen thousand, thirty-two".