102109344 has 192 divisors, whose sum is σ = 310262400. Its totient is φ = 29196288.

The previous prime is 102109321. The next prime is 102109369. The reversal of 102109344 is 443901201.

It is a super-2 number, since 2×102109344² = 20852636264220672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147252 + ... + 1147340.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 2^102109344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102109344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

102109344 is an abundant number, since it is smaller than the sum of its proper divisors (208153056).

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

102109344 is a wasteful number, since it uses less digits than its factorization.

102109344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 102109344 is about 10104.9168230124. The cubic root of 102109344 is about 467.3997710913.

The spelling of 102109344 in words is "one hundred two million, one hundred nine thousand, three hundred forty-four".