106182037 has 16 divisors (see below), whose sum is σ = 118798848. Its totient is φ = 94242240.

The previous prime is 106182031. The next prime is 106182049. The reversal of 106182037 is 730281601.

It is a cyclic number.

It is not a de Polignac number, because 106182037 - 2⁷ = 106181909 is a prime.

It is a super-2 number, since 2×106182037² = 22549249962938738, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106181996 and 106182014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106182031) 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 15 ways as a sum of consecutive naturals, for example, 68958 + ... + 70480.

It is an arithmetic number, because the mean of its divisors is an integer number (7424928).

Almost surely, 2^106182037 is an apocalyptic number.

It is an amenable number.

106182037 is a deficient number, since it is larger than the sum of its proper divisors (12616811).

106182037 is a wasteful number, since it uses less digits than its factorization.

106182037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 106182037 is about 10304.4668469553. The cubic root of 106182037 is about 473.5331100865.

The spelling of 106182037 in words is "one hundred six million, one hundred eighty-two thousand, thirty-seven".