106148952 has 192 divisors, whose sum is σ = 375036480. Its totient is φ = 26320896.

The previous prime is 106148951. The next prime is 106148957. The reversal of 106148952 is 259841601.

It is a super-3 number, since 3×106148952³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106148951) 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 47 ways as a sum of consecutive naturals, for example, 110908 + ... + 111860.

It is an arithmetic number, because the mean of its divisors is an integer number (1953315).

Almost surely, 2^106148952 is an apocalyptic number.

106148952 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 106148952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187518240).

106148952 is an abundant number, since it is smaller than the sum of its proper divisors (268887528).

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

106148952 is a wasteful number, since it uses less digits than its factorization.

106148952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 106148952 is about 10302.8613501299. The cubic root of 106148952 is about 473.4839226381.

The spelling of 106148952 in words is "one hundred six million, one hundred forty-eight thousand, nine hundred fifty-two".