106518480 has 160 divisors (see below), whose sum is σ = 346644480. Its totient is φ = 27025920.

The previous prime is 106518407. The next prime is 106518547. The reversal of 106518480 is 84815601.

It is a super-2 number, since 2×106518480² = 22692373163020800, which contains 22 as substring.

It is a congruent number.

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, 766251 + ... + 766389.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^106518480 is an apocalyptic number.

106518480 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 106518480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

106518480 is an abundant number, since it is smaller than the sum of its proper divisors (240126000).

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

106518480 is a wasteful number, since it uses less digits than its factorization.

106518480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 106518480 is about 10320.7790403632. The cubic root of 106518480 is about 474.0327204175.

The spelling of 106518480 in words is "one hundred six million, five hundred eighteen thousand, four hundred eighty".