106517060 has 48 divisors (see below), whose sum is σ = 242079600. Its totient is φ = 39135744.

The previous prime is 106517051. The next prime is 106517083. The reversal of 106517060 is 60715601.

It can be written as a sum of positive squares in 8 ways, for example, as 7474756 + 99042304 = 2734^2 + 9952^2 .

It is a super-2 number, since 2×106517060² = 22691768142087200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58646 + ... + 60434.

It is an arithmetic number, because the mean of its divisors is an integer number (5043325).

Almost surely, 2^106517060 is an apocalyptic number.

106517060 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 106517060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121039800).

106517060 is an abundant number, since it is smaller than the sum of its proper divisors (135562540).

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

106517060 is a wasteful number, since it uses less digits than its factorization.

106517060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 106517060 is about 10320.7102468774. The cubic root of 106517060 is about 474.0306139615.

The spelling of 106517060 in words is "one hundred six million, five hundred seventeen thousand, sixty".