106048512 has 132 divisors (see below), whose sum is σ = 315500016. Its totient is φ = 34283520.

The previous prime is 106048483. The next prime is 106048529. The reversal of 106048512 is 215840601.

106048512 is a `hidden beast` number, since 1 + 0 + 604 + 8 + 51 + 2 = 666.

It is a super-2 number, since 2×106048512² = 22492573794828288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340837 + ... + 341147.

Almost surely, 2^106048512 is an apocalyptic number.

106048512 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 106048512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157750008).

106048512 is an abundant number, since it is smaller than the sum of its proper divisors (209451504).

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

106048512 is a wasteful number, since it uses less digits than its factorization.

106048512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 106048512 is about 10297.9858224800. The cubic root of 106048512 is about 473.3345359135.

The spelling of 106048512 in words is "one hundred six million, forty-eight thousand, five hundred twelve".