106719048 has 96 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 33436800.

The previous prime is 106719031. The next prime is 106719059. The reversal of 106719048 is 840917601.

It is a super-2 number, since 2×106719048² = 22777910412052608, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 247393 + ... + 247823.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2^106719048 is an apocalyptic number.

106719048 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 106719048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

106719048 is an abundant number, since it is smaller than the sum of its proper divisors (199914552).

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

106719048 is a wasteful number, since it uses less digits than its factorization.

106719048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106719048 is about 10330.4911790292. The cubic root of 106719048 is about 474.3300590670.

The spelling of 106719048 in words is "one hundred six million, seven hundred nineteen thousand, forty-eight".