106143615 has 48 divisors (see below), whose sum is σ = 192192000. Its totient is φ = 56197152.

The previous prime is 106143613. The next prime is 106143619. The reversal of 106143615 is 516341601.

106143615 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 43 + 615 = 666.

It is not a de Polignac number, because 106143615 - 2¹ = 106143613 is a prime.

It is a super-2 number, since 2×106143615² = 22532934010536450, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106143613) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 241566 + ... + 242004.

It is an arithmetic number, because the mean of its divisors is an integer number (4004000).

Almost surely, 2^106143615 is an apocalyptic number.

106143615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106143615 is a deficient number, since it is larger than the sum of its proper divisors (86048385).

106143615 is an equidigital number, since it uses as much as digits as its factorization.

106143615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106143615 is about 10302.6023411563. The cubic root of 106143615 is about 473.4759871662.

The spelling of 106143615 in words is "one hundred six million, one hundred forty-three thousand, six hundred fifteen".