101748504132 has 576 divisors, whose sum is σ = 321217747200. Its totient is φ = 27923616000.

The previous prime is 101748504101. The next prime is 101748504149. The reversal of 101748504132 is 231405847101.

101748504132 is a `hidden beast` number, since 1 + 0 + 17 + 4 + 8 + 504 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1007410882 + ... + 1007410982.

It is an arithmetic number, because the mean of its divisors is an integer number (557669700).

Almost surely, 2^101748504132 is an apocalyptic number.

101748504132 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 101748504132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160608873600).

101748504132 is an abundant number, since it is smaller than the sum of its proper divisors (219469243068).

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

101748504132 is a wasteful number, since it uses less digits than its factorization.

101748504132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 101748504132 in words is "one hundred one billion, seven hundred forty-eight million, five hundred four thousand, one hundred thirty-two".