106845480 has 240 divisors, whose sum is σ = 418372020. Its totient is φ = 24385536.

The previous prime is 106845461. The next prime is 106845539. The reversal of 106845480 is 84548601.

106845480 is a `hidden beast` number, since 106 + 8 + 4 + 548 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 2683044 = 10206^2 + 1638^2 .

It is a super-2 number, since 2×106845480² = 22831913192860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 158424 + ... + 159096.

Almost surely, 2^106845480 is an apocalyptic number.

106845480 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 106845480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209186010).

106845480 is an abundant number, since it is smaller than the sum of its proper divisors (311526540).

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

106845480 is a wasteful number, since it uses less digits than its factorization.

106845480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 106845480 is about 10336.6087282048. The cubic root of 106845480 is about 474.5173009637.

The spelling of 106845480 in words is "one hundred six million, eight hundred forty-five thousand, four hundred eighty".