106480332 has 180 divisors, whose sum is σ = 341815320. Its totient is φ = 28740096.

The previous prime is 106480327. The next prime is 106480343. The reversal of 106480332 is 233084601.

It is a happy number.

106480332 is a `hidden beast` number, since 10 + 648 + 0 + 3 + 3 + 2 = 666.

It is a super-2 number, since 2×106480332² = 22676122205660448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106480296 and 106480305.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 301468 + ... + 301820.

It is an arithmetic number, because the mean of its divisors is an integer number (1898974).

Almost surely, 2^106480332 is an apocalyptic number.

106480332 is a gapful number since it is divisible by the number (12) 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 106480332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170907660).

106480332 is an abundant number, since it is smaller than the sum of its proper divisors (235334988).

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

106480332 is a wasteful number, since it uses less digits than its factorization.

106480332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106480332 is about 10318.9307585621. The cubic root of 106480332 is about 473.9761244183.

The spelling of 106480332 in words is "one hundred six million, four hundred eighty thousand, three hundred thirty-two".