106318464 has 128 divisors (see below), whose sum is σ = 331785600. Its totient is φ = 29528064.

The previous prime is 106318463. The next prime is 106318483. The reversal of 106318464 is 464813601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106318464² = 22607231574638592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106318463) 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, 98922 + ... + 99990.

It is an arithmetic number, because the mean of its divisors is an integer number (2592075).

Almost surely, 2^106318464 is an apocalyptic number.

106318464 is a gapful number since it is divisible by the number (14) 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 106318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165892800).

106318464 is an abundant number, since it is smaller than the sum of its proper divisors (225467136).

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

106318464 is a wasteful number, since it uses less digits than its factorization.

106318464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 106318464 is about 10311.0845210385. The cubic root of 106318464 is about 473.7358281580.

The spelling of 106318464 in words is "one hundred six million, three hundred eighteen thousand, four hundred sixty-four".