106208480 has 288 divisors, whose sum is σ = 330946560. Its totient is φ = 31933440.

The previous prime is 106208477. The next prime is 106208497. The reversal of 106208480 is 84802601.

It is a super-2 number, since 2×106208480² = 22560482447820800, 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 47 ways as a sum of consecutive naturals, for example, 3426065 + ... + 3426095.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^106208480 is an apocalyptic number.

106208480 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 106208480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

106208480 is an abundant number, since it is smaller than the sum of its proper divisors (224738080).

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

106208480 is a wasteful number, since it uses less digits than its factorization.

106208480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 106208480 is about 10305.7498514179. The cubic root of 106208480 is about 473.5724155318.

The spelling of 106208480 in words is "one hundred six million, two hundred eight thousand, four hundred eighty".