106132480 has 88 divisors (see below), whose sum is σ = 268238880. Its totient is φ = 40181760.

The previous prime is 106132469. The next prime is 106132483. The reversal of 106132480 is 84231601.

It is a super-2 number, since 2×106132480² = 22528206621900800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106132483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96735 + ... + 97825.

Almost surely, 2^106132480 is an apocalyptic number.

106132480 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 106132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134119440).

106132480 is an abundant number, since it is smaller than the sum of its proper divisors (162106400).

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

106132480 is a wasteful number, since it uses less digits than its factorization.

106132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 106132480 is about 10302.0619295362. The cubic root of 106132480 is about 473.4594299151.

The spelling of 106132480 in words is "one hundred six million, one hundred thirty-two thousand, four hundred eighty".