106017520 has 120 divisors (see below), whose sum is σ = 292561632. Its totient is φ = 34997760.

The previous prime is 106017497. The next prime is 106017521. The reversal of 106017520 is 25710601.

It is a super-2 number, since 2×106017520² = 22479429093900800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106017491 and 106017500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106017521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538062 + ... + 538258.

Almost surely, 2^106017520 is an apocalyptic number.

106017520 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 106017520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146280816).

106017520 is an abundant number, since it is smaller than the sum of its proper divisors (186544112).

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

106017520 is a wasteful number, since it uses less digits than its factorization.

106017520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 106017520 is about 10296.4809522477. The cubic root of 106017520 is about 473.2884217565.

The spelling of 106017520 in words is "one hundred six million, seventeen thousand, five hundred twenty".