101638752 has 96 divisors (see below), whose sum is σ = 284094720. Its totient is φ = 31726080.

The previous prime is 101638751. The next prime is 101638781. The reversal of 101638752 is 257836101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101638751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187602 + ... + 188142.

It is an arithmetic number, because the mean of its divisors is an integer number (2959320).

Almost surely, 2^101638752 is an apocalyptic number.

101638752 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 101638752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142047360).

101638752 is an abundant number, since it is smaller than the sum of its proper divisors (182455968).

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

101638752 is a wasteful number, since it uses less digits than its factorization.

101638752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 101638752 is about 10081.6046341840. The cubic root of 101638752 is about 466.6806290607.

It can be divided in two parts, 10163 and 8752, that added together give a triangular number (18915 = T₁₉₄).

The spelling of 101638752 in words is "one hundred one million, six hundred thirty-eight thousand, seven hundred fifty-two".