101374506320 has 40 divisors (see below), whose sum is σ = 235712089800. Its totient is φ = 40546987520.

The previous prime is 101374506307. The next prime is 101374506329. The reversal of 101374506320 is 23605473101.

It can be written as a sum of positive squares in 4 ways, for example, as 54523456 + 101319982864 = 7384^2 + 318308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101374506329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1417010 + ... + 1486830.

It is an arithmetic number, because the mean of its divisors is an integer number (5892802245).

Almost surely, 2^101374506320 is an apocalyptic number.

101374506320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101374506320 is an abundant number, since it is smaller than the sum of its proper divisors (134337583480).

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

101374506320 is a wasteful number, since it uses less digits than its factorization.

101374506320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87983 (or 87977 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 101374506320 its reverse (23605473101), we get a palindrome (124979979421).

The spelling of 101374506320 in words is "one hundred one billion, three hundred seventy-four million, five hundred six thousand, three hundred twenty".