106812615 has 64 divisors (see below), whose sum is σ = 222759936. Its totient is φ = 42412032.

The previous prime is 106812593. The next prime is 106812619. The reversal of 106812615 is 516218601.

It is not a de Polignac number, because 106812615 - 2⁶ = 106812551 is a prime.

It is a super-2 number, since 2×106812615² = 22817869446276450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106812619) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20904 + ... + 25506.

It is an arithmetic number, because the mean of its divisors is an integer number (3480624).

Almost surely, 2^106812615 is an apocalyptic number.

106812615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106812615 is an abundant number, since it is smaller than the sum of its proper divisors (115947321).

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

106812615 is a wasteful number, since it uses less digits than its factorization.

106812615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 106812615 is about 10335.0188679073. The cubic root of 106812615 is about 474.4686431252.

The spelling of 106812615 in words is "one hundred six million, eight hundred twelve thousand, six hundred fifteen".