102720745840 has 80 divisors (see below), whose sum is σ = 244944876096. Its totient is φ = 40045824000.

The previous prime is 102720745823. The next prime is 102720745859. The reversal of 102720745840 is 48547027201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 102720745793 and 102720745802.

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, 560020 + ... + 720460.

Almost surely, 2^102720745840 is an apocalyptic number.

102720745840 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 102720745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122472438048).

102720745840 is an abundant number, since it is smaller than the sum of its proper divisors (142224130256).

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

102720745840 is a wasteful number, since it uses less digits than its factorization.

102720745840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160658 (or 160652 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 102720745840 in words is "one hundred two billion, seven hundred twenty million, seven hundred forty-five thousand, eight hundred forty".