106508376 has 192 divisors, whose sum is σ = 336117600. Its totient is φ = 30191616.

The previous prime is 106508341. The next prime is 106508399. The reversal of 106508376 is 673805601.

It is a super-2 number, since 2×106508376² = 22688068316314752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106508376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942496 + ... + 942608.

Almost surely, 2^106508376 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 106508376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168058800).

106508376 is an abundant number, since it is smaller than the sum of its proper divisors (229609224).

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

106508376 is a wasteful number, since it uses less digits than its factorization.

106508376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106508376 is about 10320.2895308223. The cubic root of 106508376 is about 474.0177315377.

The spelling of 106508376 in words is "one hundred six million, five hundred eight thousand, three hundred seventy-six".