106376928 has 96 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 30236160.

The previous prime is 106376927. The next prime is 106376947. The reversal of 106376928 is 829673601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106376928² = 22632101621434368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 106376928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106376923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208738 + ... + 209246.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2^106376928 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 106376928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

106376928 is an abundant number, since it is smaller than the sum of its proper divisors (214408992).

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

106376928 is a wasteful number, since it uses less digits than its factorization.

106376928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 106376928 is about 10313.9191387173. The cubic root of 106376928 is about 473.8226472461.

The spelling of 106376928 in words is "one hundred six million, three hundred seventy-six thousand, nine hundred twenty-eight".