106290048 has 64 divisors (see below), whose sum is σ = 290002320. Its totient is φ = 34467840.

The previous prime is 106290043. The next prime is 106290139. The reversal of 106290048 is 840092601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106290048² = 22595148607684608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106289997 and 106290024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106290043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10468 + ... + 17948.

Almost surely, 2^106290048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145001160).

106290048 is an abundant number, since it is smaller than the sum of its proper divisors (183712272).

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

106290048 is an equidigital number, since it uses as much as digits as its factorization.

106290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7535 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 106290048 is about 10309.7064943673. The cubic root of 106290048 is about 473.6936188801.

The spelling of 106290048 in words is "one hundred six million, two hundred ninety thousand, forty-eight".