106948548 has 72 divisors (see below), whose sum is σ = 310040640. Its totient is φ = 30450240.

The previous prime is 106948529. The next prime is 106948559. The reversal of 106948548 is 845849601.

106948548 is a `hidden beast` number, since 1 + 0 + 69 + 48 + 548 = 666.

It is a super-2 number, since 2×106948548² = 22875983838616608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97483 + ... + 98573.

It is an arithmetic number, because the mean of its divisors is an integer number (4306120).

Almost surely, 2^106948548 is an apocalyptic number.

106948548 is a gapful number since it is divisible by the number (18) 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 106948548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155020320).

106948548 is an abundant number, since it is smaller than the sum of its proper divisors (203092092).

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

106948548 is a wasteful number, since it uses less digits than its factorization.

106948548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 106948548 is about 10341.5931074472. The cubic root of 106948548 is about 474.6698322374.

The spelling of 106948548 in words is "one hundred six million, nine hundred forty-eight thousand, five hundred forty-eight".