106195158 has 64 divisors (see below), whose sum is σ = 258552000. Its totient is φ = 32159232.

The previous prime is 106195147. The next prime is 106195169. The reversal of 106195158 is 851591601.

It is an interprime number because it is at equal distance from previous prime (106195147) and next prime (106195169).

It is a super-2 number, since 2×106195158² = 22554823165289928, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 24628 + ... + 28616.

It is an arithmetic number, because the mean of its divisors is an integer number (4039875).

Almost surely, 2^106195158 is an apocalyptic number.

106195158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106195158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276000).

106195158 is an abundant number, since it is smaller than the sum of its proper divisors (152356842).

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

106195158 is a wasteful number, since it uses less digits than its factorization.

106195158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 106195158 is about 10305.1034929301. The cubic root of 106195158 is about 473.5526142394.

The spelling of 106195158 in words is "one hundred six million, one hundred ninety-five thousand, one hundred fifty-eight".