102738336 has 48 divisors (see below), whose sum is σ = 273730464. Its totient is φ = 33732864.

The previous prime is 102738323. The next prime is 102738341. The reversal of 102738336 is 633837201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 102738297 and 102738306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1555 + ... + 14418.

It is an arithmetic number, because the mean of its divisors is an integer number (5702718).

Almost surely, 2^102738336 is an apocalyptic number.

102738336 is a gapful number since it is divisible by the number (16) 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 102738336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136865232).

102738336 is an abundant number, since it is smaller than the sum of its proper divisors (170992128).

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

102738336 is a wasteful number, since it uses less digits than its factorization.

102738336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16053 (or 16045 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 102738336 is about 10135.9921073371. The cubic root of 102738336 is about 468.3575323281.

The spelling of 102738336 in words is "one hundred two million, seven hundred thirty-eight thousand, three hundred thirty-six".