106416480 has 96 divisors (see below), whose sum is σ = 339915744. Its totient is φ = 27979776.

The previous prime is 106416463. The next prime is 106416487. The reversal of 106416480 is 84614601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106416480² = 22648934431180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106416487) 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 15 ways as a sum of consecutive naturals, for example, 33522 + ... + 36558.

It is an arithmetic number, because the mean of its divisors is an integer number (3540789).

Almost surely, 2^106416480 is an apocalyptic number.

106416480 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 106416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169957872).

106416480 is an abundant number, since it is smaller than the sum of its proper divisors (233499264).

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

106416480 is a wasteful number, since it uses less digits than its factorization.

106416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106416480 is about 10315.8363693886. The cubic root of 106416480 is about 473.8813639607.

The spelling of 106416480 in words is "one hundred six million, four hundred sixteen thousand, four hundred eighty".