102116189644 has 48 divisors (see below), whose sum is σ = 209384372736. Its totient is φ = 42664003200.

The previous prime is 102116189641. The next prime is 102116189647. The reversal of 102116189644 is 446981611201.

It is an interprime number because it is at equal distance from previous prime (102116189641) and next prime (102116189647).

It is a Harshad number since it is a multiple of its sum of digits (43).

102116189644 is a modest number, since divided by 189644 gives 102116 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 102116189644.

It is not an unprimeable number, because it can be changed into a prime (102116189641) 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, 545889 + ... + 708679.

It is an arithmetic number, because the mean of its divisors is an integer number (4362174432).

Almost surely, 2^102116189644 is an apocalyptic number.

102116189644 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 102116189644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104692186368).

102116189644 is an abundant number, since it is smaller than the sum of its proper divisors (107268183092).

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

102116189644 is a wasteful number, since it uses less digits than its factorization.

102116189644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163366 (or 163364 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 102116189644 in words is "one hundred two billion, one hundred sixteen million, one hundred eighty-nine thousand, six hundred forty-four".