101472037728360 has 768 divisors, whose sum is σ = 345251123159040. Its totient is φ = 23715028592640.

The previous prime is 101472037728359. The next prime is 101472037728361. The reversal of 101472037728360 is 63827730274101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101472037728359) and next prime (101472037728361).

It is not an unprimeable number, because it can be changed into a prime (101472037728361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90358002759 + ... + 90358003881.

It is an arithmetic number, because the mean of its divisors is an integer number (449545733280).

Almost surely, 2^{101472037728360} is an apocalyptic number.

101472037728360 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 101472037728360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172625561579520).

101472037728360 is an abundant number, since it is smaller than the sum of its proper divisors (243779085430680).

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

101472037728360 is a wasteful number, since it uses less digits than its factorization.

101472037728360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 101472037728360 in words is "one hundred one trillion, four hundred seventy-two billion, thirty-seven million, seven hundred twenty-eight thousand, three hundred sixty".