102007892 has 12 divisors (see below), whose sum is σ = 204015840. Its totient is φ = 43717656.

The previous prime is 102007891. The next prime is 102007931. The reversal of 102007892 is 298700201.

It is a happy number.

102007892 is an admirable number.

It is a super-2 number, since 2×102007892² = 20811220060567328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102007891) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1821542 + ... + 1821597.

It is an arithmetic number, because the mean of its divisors is an integer number (17001320).

Almost surely, 2^102007892 is an apocalyptic number.

It is an amenable number.

102007892 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102007892 is a wasteful number, since it uses less digits than its factorization.

102007892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643150 (or 3643148 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 102007892 is about 10099.8956430252. The cubic root of 102007892 is about 467.2449228575.

The spelling of 102007892 in words is "one hundred two million, seven thousand, eight hundred ninety-two".