102071750144 has 160 divisors (see below), whose sum is σ = 264221422080. Its totient is φ = 38254436352.

The previous prime is 102071750129. The next prime is 102071750159. The reversal of 102071750144 is 441057170201.

It is an interprime number because it is at equal distance from previous prime (102071750129) and next prime (102071750159).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 102071750144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827597 + ... + 942899.

It is an arithmetic number, because the mean of its divisors is an integer number (1651383888).

Almost surely, 2^102071750144 is an apocalyptic number.

102071750144 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 102071750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132110711040).

102071750144 is an abundant number, since it is smaller than the sum of its proper divisors (162149671936).

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

102071750144 is a wasteful number, since it uses less digits than its factorization.

102071750144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115360 (or 115344 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The spelling of 102071750144 in words is "one hundred two billion, seventy-one million, seven hundred fifty thousand, one hundred forty-four".