101091748032 has 672 divisors, whose sum is σ = 340392837120. Its totient is φ = 29745999360.

The previous prime is 101091748013. The next prime is 101091748033. The reversal of 101091748032 is 230847190101.

It is a happy number.

It is a super-3 number, since 3×101091748032³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101091748033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 795997953 + ... + 795998079.

It is an arithmetic number, because the mean of its divisors is an integer number (506536960).

Almost surely, 2^101091748032 is an apocalyptic number.

101091748032 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 101091748032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170196418560).

101091748032 is an abundant number, since it is smaller than the sum of its proper divisors (239301089088).

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

101091748032 is an equidigital number, since it uses as much as digits as its factorization.

101091748032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 101091748032 in words is "one hundred one billion, ninety-one million, seven hundred forty-eight thousand, thirty-two".