102009964 has 72 divisors (see below), whose sum is σ = 217771008. Its totient is φ = 41640480.

The previous prime is 102009961. The next prime is 102009977. The reversal of 102009964 is 469900201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (102009961) 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 23 ways as a sum of consecutive naturals, for example, 625747 + ... + 625909.

Almost surely, 2^102009964 is an apocalyptic number.

102009964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102009964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108885504).

102009964 is an abundant number, since it is smaller than the sum of its proper divisors (115761044).

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

102009964 is a wasteful number, since it uses less digits than its factorization.

102009964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 102009964 is about 10099.9982178216. The cubic root of 102009964 is about 467.2480864197.

It can be divided in two parts, 10200 and 9964, that added together give a square (20164 = 142²).

The spelling of 102009964 in words is "one hundred two million, nine thousand, nine hundred sixty-four".