102741408 has 288 divisors, whose sum is σ = 376451712. Its totient is φ = 25804800.

The previous prime is 102741377. The next prime is 102741439. The reversal of 102741408 is 804147201.

It is an interprime number because it is at equal distance from previous prime (102741377) and next prime (102741439).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909160 + ... + 909272.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^102741408 is an apocalyptic number.

102741408 is a gapful number since it is divisible by the number (18) 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 102741408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

102741408 is an abundant number, since it is smaller than the sum of its proper divisors (273710304).

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

102741408 is a wasteful number, since it uses less digits than its factorization.

102741408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 102741408 is about 10136.1436453910. The cubic root of 102741408 is about 468.3622004330.

Adding to 102741408 its reverse (804147201), we get a palindrome (906888609).

The spelling of 102741408 in words is "one hundred two million, seven hundred forty-one thousand, four hundred eight".