101253240 has 192 divisors, whose sum is σ = 372677760. Its totient is φ = 24520320.

The previous prime is 101253233. The next prime is 101253259. The reversal of 101253240 is 42352101.

It is a super-2 number, since 2×101253240² = 20504437220995200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 106447 + ... + 107393.

It is an arithmetic number, because the mean of its divisors is an integer number (1941030).

Almost surely, 2^101253240 is an apocalyptic number.

101253240 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 101253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186338880).

101253240 is an abundant number, since it is smaller than the sum of its proper divisors (271424520).

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

101253240 is a wasteful number, since it uses less digits than its factorization.

101253240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101253240 is about 10062.4668943555. The cubic root of 101253240 is about 466.0898474121.

The spelling of 101253240 in words is "one hundred one million, two hundred fifty-three thousand, two hundred forty".