102072105 has 12 divisors (see below), whose sum is σ = 176925060. Its totient is φ = 54438432.

The previous prime is 102072079. The next prime is 102072107. The reversal of 102072105 is 501270201.

It can be written as a sum of positive squares in 2 ways, for example, as 23270976 + 78801129 = 4824^2 + 8877^2 .

It is not a de Polignac number, because 102072105 - 2¹² = 102068009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102072107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1134090 + ... + 1134179.

It is an arithmetic number, because the mean of its divisors is an integer number (14743755).

Almost surely, 2^102072105 is an apocalyptic number.

102072105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102072105 is a deficient number, since it is larger than the sum of its proper divisors (74852955).

102072105 is a wasteful number, since it uses less digits than its factorization.

102072105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268280 (or 2268277 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 102072105 is about 10103.0740371433. The cubic root of 102072105 is about 467.3429443742.

The spelling of 102072105 in words is "one hundred two million, seventy-two thousand, one hundred five".