102007081 has 16 divisors (see below), whose sum is σ = 115315200. Its totient is φ = 89395200.

The previous prime is 102007069. The next prime is 102007117. The reversal of 102007081 is 180700201.

It is a cyclic number.

It is not a de Polignac number, because 102007081 - 2¹³ = 101998889 is a prime.

It is a super-2 number, since 2×102007081² = 20810889148281122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102007681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132265 + ... + 133033.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2^102007081 is an apocalyptic number.

102007081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102007081 is a deficient number, since it is larger than the sum of its proper divisors (13308119).

102007081 is a wasteful number, since it uses less digits than its factorization.

102007081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 102007081 is about 10099.8554940157. The cubic root of 102007081 is about 467.2436845983.

Adding to 102007081 its reverse (180700201), we get a palindrome (282707282).

The spelling of 102007081 in words is "one hundred two million, seven thousand, eighty-one".