106633716 has 48 divisors (see below), whose sum is σ = 288615936. Its totient is φ = 30010464.

The previous prime is 106633699. The next prime is 106633717. The reversal of 106633716 is 617336601.

It is a super-2 number, since 2×106633716² = 22741498775937312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106633717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3846 + ... + 15101.

It is an arithmetic number, because the mean of its divisors is an integer number (6012832).

Almost surely, 2^106633716 is an apocalyptic number.

It is an amenable number.

106633716 is an abundant number, since it is smaller than the sum of its proper divisors (181982220).

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

106633716 is a wasteful number, since it uses less digits than its factorization.

106633716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19028 (or 19026 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 106633716 is about 10326.3602493812. The cubic root of 106633716 is about 474.2036014003.

The spelling of 106633716 in words is "one hundred six million, six hundred thirty-three thousand, seven hundred sixteen".