101003746452 has 96 divisors (see below), whose sum is σ = 275581152000. Its totient is φ = 28780407936.

The previous prime is 101003746421. The next prime is 101003746471. The reversal of 101003746452 is 254647300101.

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 31 ways as a sum of consecutive naturals, for example, 1502374 + ... + 1568162.

It is an arithmetic number, because the mean of its divisors is an integer number (2870637000).

Almost surely, 2^101003746452 is an apocalyptic number.

101003746452 is a gapful number since it is divisible by the number (12) 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 101003746452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137790576000).

101003746452 is an abundant number, since it is smaller than the sum of its proper divisors (174577405548).

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

101003746452 is a wasteful number, since it uses less digits than its factorization.

101003746452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66190 (or 66174 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 101003746452 in words is "one hundred one billion, three million, seven hundred forty-six thousand, four hundred fifty-two".