106317960 has 128 divisors (see below), whose sum is σ = 380436480. Its totient is φ = 23240448.

The previous prime is 106317931. The next prime is 106317997. The reversal of 106317960 is 69713601.

It is a super-2 number, since 2×106317960² = 22607017237123200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16569 + ... + 22071.

It is an arithmetic number, because the mean of its divisors is an integer number (2972160).

Almost surely, 2^106317960 is an apocalyptic number.

106317960 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 106317960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190218240).

106317960 is an abundant number, since it is smaller than the sum of its proper divisors (274118520).

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

106317960 is a wasteful number, since it uses less digits than its factorization.

106317960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 106317960 is about 10311.0600812914. The cubic root of 106317960 is about 473.7350795792.

The spelling of 106317960 in words is "one hundred six million, three hundred seventeen thousand, nine hundred sixty".