101471452460 has 192 divisors, whose sum is σ = 260372496384. Its totient is φ = 32483808000.

The previous prime is 101471452409. The next prime is 101471452501. The reversal of 101471452460 is 64254174101.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 101471452460.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15486185 + ... + 15492735.

It is an arithmetic number, because the mean of its divisors is an integer number (1356106752).

Almost surely, 2^101471452460 is an apocalyptic number.

101471452460 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 101471452460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130186248192).

101471452460 is an abundant number, since it is smaller than the sum of its proper divisors (158901043924).

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

101471452460 is a wasteful number, since it uses less digits than its factorization.

101471452460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6722 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 101471452460 in words is "one hundred one billion, four hundred seventy-one million, four hundred fifty-two thousand, four hundred sixty".