106872480 has 384 divisors, whose sum is σ = 441987840. Its totient is φ = 23777280.

The previous prime is 106872461. The next prime is 106872497. The reversal of 106872480 is 84278601.

106872480 is a `hidden beast` number, since 106 + 8 + 72 + 480 = 666.

It is a super-2 number, since 2×106872480² = 22843453962700800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617674 + ... + 617846.

It is an arithmetic number, because the mean of its divisors is an integer number (1151010).

Almost surely, 2^106872480 is an apocalyptic number.

106872480 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 106872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220993920).

106872480 is an abundant number, since it is smaller than the sum of its proper divisors (335115360).

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

106872480 is a wasteful number, since it uses less digits than its factorization.

106872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 106872480 is about 10337.9146833392. The cubic root of 106872480 is about 474.5572679892.

The spelling of 106872480 in words is "one hundred six million, eight hundred seventy-two thousand, four hundred eighty".