106635120 has 80 divisors (see below), whose sum is σ = 331562112. Its totient is φ = 28350720.

The previous prime is 106635119. The next prime is 106635121. The reversal of 106635120 is 21536601.

106635120 = T₁₄₃ + T₁₄₄ + ... + T₈₆₂.

It is an interprime number because it is at equal distance from previous prime (106635119) and next prime (106635121).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106635120² = 22742097634828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106635121) 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, 153975 + ... + 154665.

Almost surely, 2^106635120 is an apocalyptic number.

106635120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106635120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165781056).

106635120 is an abundant number, since it is smaller than the sum of its proper divisors (224926992).

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

106635120 is a wasteful number, since it uses less digits than its factorization.

106635120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106635120 is about 10326.4282305161. The cubic root of 106635120 is about 474.2056826024.

The spelling of 106635120 in words is "one hundred six million, six hundred thirty-five thousand, one hundred twenty".