101255240 has 64 divisors (see below), whose sum is σ = 241542000. Its totient is φ = 38133760.

The previous prime is 101255221. The next prime is 101255243. The reversal of 101255240 is 42552101.

It can be written as a sum of positive squares in 8 ways, for example, as 9746884 + 91508356 = 3122^2 + 9566^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (101255243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46496 + ... + 48624.

Almost surely, 2^101255240 is an apocalyptic number.

101255240 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 101255240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120771000).

101255240 is an abundant number, since it is smaller than the sum of its proper divisors (140286760).

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

101255240 is a wasteful number, since it uses less digits than its factorization.

101255240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 101255240 is about 10062.5662730737. The cubic root of 101255240 is about 466.0929161980.

The spelling of 101255240 in words is "one hundred one million, two hundred fifty-five thousand, two hundred forty".