106036632 has 48 divisors (see below), whose sum is σ = 309276240. Its totient is φ = 32626368.

The previous prime is 106036631. The next prime is 106036649. The reversal of 106036632 is 236630601.

It is a super-2 number, since 2×106036632² = 22487534651806848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106036596 and 106036605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106036631) 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, 55708 + ... + 57579.

It is an arithmetic number, because the mean of its divisors is an integer number (6443255).

Almost surely, 2^106036632 is an apocalyptic number.

106036632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106036632 is an abundant number, since it is smaller than the sum of its proper divisors (203239608).

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

106036632 is a wasteful number, since it uses less digits than its factorization.

106036632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113312 (or 113305 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 106036632 is about 10297.4089944995. The cubic root of 106036632 is about 473.3168602788.

The spelling of 106036632 in words is "one hundred six million, thirty-six thousand, six hundred thirty-two".