102711840 has 288 divisors, whose sum is σ = 411614784. Its totient is φ = 21288960.

The previous prime is 102711797. The next prime is 102711883. The reversal of 102711840 is 48117201.

It is an interprime number because it is at equal distance from previous prime (102711797) and next prime (102711883).

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

It is a self number, because there is not a number n which added to its sum of digits gives 102711840.

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, 258522 + ... + 258918.

It is an arithmetic number, because the mean of its divisors is an integer number (1429218).

Almost surely, 2^102711840 is an apocalyptic number.

102711840 is a gapful number since it is divisible by the number (10) 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 102711840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205807392).

102711840 is an abundant number, since it is smaller than the sum of its proper divisors (308902944).

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

102711840 is a wasteful number, since it uses less digits than its factorization.

102711840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 102711840 is about 10134.6849975715. The cubic root of 102711840 is about 468.3172660600.

The spelling of 102711840 in words is "one hundred two million, seven hundred eleven thousand, eight hundred forty".