106501120 has 176 divisors, whose sum is σ = 292409856. Its totient is φ = 36864000.

The previous prime is 106501097. The next prime is 106501121. The reversal of 106501120 is 21105601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×106501120² = 22684977122508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 106501094 and 106501103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106501121) 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, 1745890 + ... + 1745950.

Almost surely, 2^106501120 is an apocalyptic number.

106501120 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 106501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146204928).

106501120 is an abundant number, since it is smaller than the sum of its proper divisors (185908736).

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

106501120 is a wasteful number, since it uses less digits than its factorization.

106501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 106501120 is about 10319.9379843098. The cubic root of 106501120 is about 474.0069669672.

Adding to 106501120 its reverse (21105601), we get a palindrome (127606721).

The spelling of 106501120 in words is "one hundred six million, five hundred one thousand, one hundred twenty".