102106893 has 16 divisors (see below), whose sum is σ = 163781120. Its totient is φ = 55275696.

The previous prime is 102106853. The next prime is 102106903. The reversal of 102106893 is 398601201.

It is not a de Polignac number, because 102106893 - 2¹³ = 102098701 is a prime.

It is a super-2 number, since 2×102106893² = 20851635196226898, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102106893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102106853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127555 + ... + 128352.

It is an arithmetic number, because the mean of its divisors is an integer number (10236320).

Almost surely, 2^102106893 is an apocalyptic number.

It is an amenable number.

102106893 is a deficient number, since it is larger than the sum of its proper divisors (61674227).

102106893 is a wasteful number, since it uses less digits than its factorization.

102106893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255936.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 102106893 is about 10104.7955446906. The cubic root of 102106893 is about 467.3960312899.

The spelling of 102106893 in words is "one hundred two million, one hundred six thousand, eight hundred ninety-three".