106810515 has 32 divisors (see below), whose sum is σ = 217013760. Its totient is φ = 48827232.

The previous prime is 106810511. The next prime is 106810523. The reversal of 106810515 is 515018601.

It is not a de Polignac number, because 106810515 - 2² = 106810511 is a prime.

It is a super-2 number, since 2×106810515² = 22816972229130450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106810511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55569 + ... + 57458.

It is an arithmetic number, because the mean of its divisors is an integer number (6781680).

Almost surely, 2^106810515 is an apocalyptic number.

106810515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106810515 is an abundant number, since it is smaller than the sum of its proper divisors (110203245).

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

106810515 is a wasteful number, since it uses less digits than its factorization.

106810515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113048 (or 113042 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 106810515 is about 10334.9172710767. The cubic root of 106810515 is about 474.4655336589.

The spelling of 106810515 in words is "one hundred six million, eight hundred ten thousand, five hundred fifteen".