106935120 has 160 divisors (see below), whose sum is σ = 380451840. Its totient is φ = 27578880.

The previous prime is 106935107. The next prime is 106935121. The reversal of 106935120 is 21539601.

It is a super-2 number, since 2×106935120² = 22870239778828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106935121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66162 + ... + 67758.

It is an arithmetic number, because the mean of its divisors is an integer number (2377824).

Almost surely, 2^106935120 is an apocalyptic number.

106935120 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 106935120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190225920).

106935120 is an abundant number, since it is smaller than the sum of its proper divisors (273516720).

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

106935120 is a wasteful number, since it uses less digits than its factorization.

106935120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 106935120 is about 10340.9438640774. The cubic root of 106935120 is about 474.6499655713.

The spelling of 106935120 in words is "one hundred six million, nine hundred thirty-five thousand, one hundred twenty".