101867240 has 64 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 39029760.

The previous prime is 101867239. The next prime is 101867243. The reversal of 101867240 is 42768101.

It is not an unprimeable number, because it can be changed into a prime (101867243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139757 + ... + 140483.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^101867240 is an apocalyptic number.

101867240 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 101867240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

101867240 is an abundant number, since it is smaller than the sum of its proper divisors (137149720).

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

101867240 is a wasteful number, since it uses less digits than its factorization.

101867240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 101867240 is about 10092.9301989066. The cubic root of 101867240 is about 467.0300729411.

The spelling of 101867240 in words is "one hundred one million, eight hundred sixty-seven thousand, two hundred forty".