101733240 has 128 divisors (see below), whose sum is σ = 350853120. Its totient is φ = 23116800.

The previous prime is 101733221. The next prime is 101733251. The reversal of 101733240 is 42337101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 235825 + ... + 236255.

It is an arithmetic number, because the mean of its divisors is an integer number (2741040).

Almost surely, 2^101733240 is an apocalyptic number.

101733240 is a gapful number since it is divisible by the number (10) 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 101733240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175426560).

101733240 is an abundant number, since it is smaller than the sum of its proper divisors (249119880).

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

101733240 is a wasteful number, since it uses less digits than its factorization.

101733240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 101733240 is about 10086.2897043462. The cubic root of 101733240 is about 466.8252001060.

The spelling of 101733240 in words is "one hundred one million, seven hundred thirty-three thousand, two hundred forty".