101872442880 has 1680 divisors, whose sum is σ = 441977983920. Its totient is φ = 22359048192.

The previous prime is 101872442873. The next prime is 101872442939. The reversal of 101872442880 is 88244278101.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5361707511 + ... + 5361707529.

Almost surely, 2^101872442880 is an apocalyptic number.

101872442880 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 101872442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220988991960).

101872442880 is an abundant number, since it is smaller than the sum of its proper divisors (340105541040).

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

101872442880 is an equidigital number, since it uses as much as digits as its factorization.

101872442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 101872442880 in words is "one hundred one billion, eight hundred seventy-two million, four hundred forty-two thousand, eight hundred eighty".