101145240 has 256 divisors, whose sum is σ = 408499200. Its totient is φ = 21731328.

The previous prime is 101145221. The next prime is 101145263. The reversal of 101145240 is 42541101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128127 + ... + 128913.

It is an arithmetic number, because the mean of its divisors is an integer number (1595700).

Almost surely, 2^101145240 is an apocalyptic number.

101145240 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 101145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204249600).

101145240 is an abundant number, since it is smaller than the sum of its proper divisors (307353960).

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

101145240 is a wasteful number, since it uses less digits than its factorization.

101145240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 101145240 is about 10057.0989852939. The cubic root of 101145240 is about 465.9240729262.

Adding to 101145240 its reverse (42541101), we get a palindrome (143686341).

The spelling of 101145240 in words is "one hundred one million, one hundred forty-five thousand, two hundred forty".