106072115 has 8 divisors (see below), whose sum is σ = 128898240. Its totient is φ = 83783232.

The previous prime is 106072103. The next prime is 106072123. The reversal of 106072115 is 511270601.

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 106072115 - 2¹⁴ = 106055731 is a prime.

It is a super-2 number, since 2×106072115² = 22502587161146450, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 133874 + ... + 134663.

It is an arithmetic number, because the mean of its divisors is an integer number (16112280).

Almost surely, 2^106072115 is an apocalyptic number.

106072115 is a deficient number, since it is larger than the sum of its proper divisors (22826125).

106072115 is an equidigital number, since it uses as much as digits as its factorization.

106072115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268621.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 106072115 is about 10299.1317595223. The cubic root of 106072115 is about 473.3696496745.

The spelling of 106072115 in words is "one hundred six million, seventy-two thousand, one hundred fifteen".