106157991 has 8 divisors (see below), whose sum is σ = 142285824. Its totient is φ = 70401080.

The previous prime is 106157977. The next prime is 106157999. The reversal of 106157991 is 199751601.

106157991 = 325² + 326² + ... + 706².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106157991 - 2¹⁷ = 106026919 is a prime.

It is a super-2 number, since 2×106157991² = 22539038106312162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106157999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92061 + ... + 93206.

It is an arithmetic number, because the mean of its divisors is an integer number (17785728).

Almost surely, 2^106157991 is an apocalyptic number.

106157991 is a deficient number, since it is larger than the sum of its proper divisors (36127833).

106157991 is a wasteful number, since it uses less digits than its factorization.

106157991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185461.

The product of its (nonzero) digits is 17010, while the sum is 39.

The square root of 106157991 is about 10303.3000053381. The cubic root of 106157991 is about 473.4973619282.

The spelling of 106157991 in words is "one hundred six million, one hundred fifty-seven thousand, nine hundred ninety-one".