102116772 has 36 divisors (see below), whose sum is σ = 267032220. Its totient is φ = 32864832.

The previous prime is 102116771. The next prime is 102116783. The reversal of 102116772 is 277611201.

It can be written as a sum of positive squares in 2 ways, for example, as 59814756 + 42302016 = 7734^2 + 6504^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (102116771) 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, 47863 + ... + 49950.

Almost surely, 2^102116772 is an apocalyptic number.

102116772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102116772 is an abundant number, since it is smaller than the sum of its proper divisors (164915448).

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

102116772 is a wasteful number, since it uses less digits than its factorization.

102116772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97852 (or 97847 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 102116772 is about 10105.2843601751. The cubic root of 102116772 is about 467.4111045670.

Adding to 102116772 its reverse (277611201), we get a palindrome (379727973).

The spelling of 102116772 in words is "one hundred two million, one hundred sixteen thousand, seven hundred seventy-two".