101172240 has 200 divisors, whose sum is σ = 378730968. Its totient is φ = 24883200.

The previous prime is 101172229. The next prime is 101172241. The reversal of 101172240 is 42271101.

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 95179536 = 2448^2 + 9756^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (101172241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83640 + ... + 84840.

Almost surely, 2^101172240 is an apocalyptic number.

101172240 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 101172240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189365484).

101172240 is an abundant number, since it is smaller than the sum of its proper divisors (277558728).

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

101172240 is a wasteful number, since it uses less digits than its factorization.

101172240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 101172240 is about 10058.4412311252. The cubic root of 101172240 is about 465.9655276065.

The spelling of 101172240 in words is "one hundred one million, one hundred seventy-two thousand, two hundred forty".