101124240 has 120 divisors (see below), whose sum is σ = 364708800. Its totient is φ = 23111424.

The previous prime is 101124223. The next prime is 101124241. The reversal of 101124240 is 42421101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×101124240² = 20452223831155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101124241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7461 + ... + 16059.

It is an arithmetic number, because the mean of its divisors is an integer number (3039240).

Almost surely, 2^101124240 is an apocalyptic number.

101124240 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 101124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182354400).

101124240 is an abundant number, since it is smaller than the sum of its proper divisors (263584560).

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

101124240 is a wasteful number, since it uses less digits than its factorization.

101124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8629 (or 8616 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 101124240 is about 10056.0548924516. The cubic root of 101124240 is about 465.8918252964.

Adding to 101124240 its reverse (42421101), we get a palindrome (143545341).

It can be divided in two parts, 10 and 1124240, that added together give a triangular number (1124250 = T₁₄₉₉).

The spelling of 101124240 in words is "one hundred one million, one hundred twenty-four thousand, two hundred forty".