101872145760 has 576 divisors, whose sum is σ = 406490628096. Its totient is φ = 20990914560.

The previous prime is 101872145699. The next prime is 101872145821. The reversal of 101872145760 is 67541278101.

It is an interprime number because it is at equal distance from previous prime (101872145699) and next prime (101872145821).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51632134 + ... + 51634106.

It is an arithmetic number, because the mean of its divisors is an integer number (705712896).

Almost surely, 2^101872145760 is an apocalyptic number.

101872145760 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 101872145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203245314048).

101872145760 is an abundant number, since it is smaller than the sum of its proper divisors (304618482336).

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

101872145760 is a wasteful number, since it uses less digits than its factorization.

101872145760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 101872145760 in words is "one hundred one billion, eight hundred seventy-two million, one hundred forty-five thousand, seven hundred sixty".