100468751240 has 128 divisors (see below), whose sum is σ = 266524110720. Its totient is φ = 33603225600.

The previous prime is 100468751237. The next prime is 100468751287. The reversal of 100468751240 is 42157864001.

It is a junction number, because it is equal to n+sod(n) for n = 100468751194 and 100468751203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1576067 + ... + 1638573.

It is an arithmetic number, because the mean of its divisors is an integer number (2082219615).

Almost surely, 2^100468751240 is an apocalyptic number.

100468751240 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 100468751240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133262055360).

100468751240 is an abundant number, since it is smaller than the sum of its proper divisors (166055359480).

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

100468751240 is a wasteful number, since it uses less digits than its factorization.

100468751240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62823 (or 62819 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 100468751240 in words is "one hundred billion, four hundred sixty-eight million, seven hundred fifty-one thousand, two hundred forty".