101505146151460 has 96 divisors (see below), whose sum is σ = 225046559485440. Its totient is φ = 38417036216832.

The previous prime is 101505146151419. The next prime is 101505146151469. The reversal of 101505146151460 is 64151641505101.

It is not an unprimeable number, because it can be changed into a prime (101505146151469) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10493907 + ... + 17695546.

It is an arithmetic number, because the mean of its divisors is an integer number (2344234994640).

Almost surely, 2^{101505146151460} is an apocalyptic number.

101505146151460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101505146151460 is an abundant number, since it is smaller than the sum of its proper divisors (123541413333980).

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

101505146151460 is a wasteful number, since it uses less digits than its factorization.

101505146151460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28189637 (or 28189635 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 40.

Adding to 101505146151460 its reverse (64151641505101), we get a palindrome (165656787656561).

The spelling of 101505146151460 in words is "one hundred one trillion, five hundred five billion, one hundred forty-six million, one hundred fifty-one thousand, four hundred sixty".