106095696 has 80 divisors (see below), whose sum is σ = 329740800. Its totient is φ = 28715904.

The previous prime is 106095679. The next prime is 106095697. The reversal of 106095696 is 696590601.

It is a super-2 number, since 2×106095696² = 22512593419448832, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106095697) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1926 + ... + 14693.

It is an arithmetic number, because the mean of its divisors is an integer number (4121760).

Almost surely, 2^106095696 is an apocalyptic number.

106095696 is a gapful number since it is divisible by the number (16) 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 106095696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164870400).

106095696 is an abundant number, since it is smaller than the sum of its proper divisors (223645104).

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

106095696 is a wasteful number, since it uses less digits than its factorization.

106095696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16656 (or 16650 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 106095696 is about 10300.2765011431. The cubic root of 106095696 is about 473.4047255051.

The spelling of 106095696 in words is "one hundred six million, ninety-five thousand, six hundred ninety-six".