101075742 has 64 divisors (see below), whose sum is σ = 233694720. Its totient is φ = 32356800.

The previous prime is 101075713. The next prime is 101075747. The reversal of 101075742 is 247570101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101075747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156873 + ... + 157515.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2^101075742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101075742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

101075742 is an abundant number, since it is smaller than the sum of its proper divisors (132618978).

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

101075742 is a wasteful number, since it uses less digits than its factorization.

101075742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 101075742 is about 10053.6432202461. The cubic root of 101075742 is about 465.8173346343.

The spelling of 101075742 in words is "one hundred one million, seventy-five thousand, seven hundred forty-two".