102261964 has 24 divisors (see below), whose sum is σ = 205299360. Its totient is φ = 43660416.

The previous prime is 102261961. The next prime is 102261997. The reversal of 102261964 is 469162201.

It is a super-2 number, since 2×102261964² = 20915018562274592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102261961) 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 7 ways as a sum of consecutive naturals, for example, 744 + ... + 14320.

It is an arithmetic number, because the mean of its divisors is an integer number (8554140).

Almost surely, 2^102261964 is an apocalyptic number.

102261964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102261964 is an abundant number, since it is smaller than the sum of its proper divisors (103037396).

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

102261964 is a wasteful number, since it uses less digits than its factorization.

102261964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13857 (or 13855 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 102261964 is about 10112.4657725008. The cubic root of 102261964 is about 467.6325249842.

The spelling of 102261964 in words is "one hundred two million, two hundred sixty-one thousand, nine hundred sixty-four".