106356415 has 16 divisors (see below), whose sum is σ = 142471296. Its totient is φ = 75549600.

The previous prime is 106356407. The next prime is 106356457. The reversal of 106356415 is 514653601.

It is not a de Polignac number, because 106356415 - 2³ = 106356407 is a prime.

It is a super-3 number, since 3×106356415³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20121 + ... + 24850.

It is an arithmetic number, because the mean of its divisors is an integer number (8904456).

Almost surely, 2^106356415 is an apocalyptic number.

106356415 is a deficient number, since it is larger than the sum of its proper divisors (36114881).

106356415 is a wasteful number, since it uses less digits than its factorization.

106356415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45030.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 106356415 is about 10312.9246579232. The cubic root of 106356415 is about 473.7921890476.

The spelling of 106356415 in words is "one hundred six million, three hundred fifty-six thousand, four hundred fifteen".