106002105 has 32 divisors (see below), whose sum is σ = 191410560. Its totient is φ = 49620480.

The previous prime is 106002073. The next prime is 106002133. The reversal of 106002105 is 501200601.

It is not a de Polignac number, because 106002105 - 2⁵ = 106002073 is a prime.

It is a super-2 number, since 2×106002105² = 22472892528862050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6292 + ... + 15861.

It is an arithmetic number, because the mean of its divisors is an integer number (5981580).

Almost surely, 2^106002105 is an apocalyptic number.

106002105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106002105 is a deficient number, since it is larger than the sum of its proper divisors (85408455).

106002105 is a wasteful number, since it uses less digits than its factorization.

106002105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22201.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 106002105 is about 10295.7323683165. The cubic root of 106002105 is about 473.2654818542.

Adding to 106002105 its reverse (501200601), we get a palindrome (607202706).

The spelling of 106002105 in words is "one hundred six million, two thousand, one hundred five".