101438640 has 120 divisors (see below), whose sum is σ = 344710080. Its totient is φ = 26729472.

The previous prime is 101438621. The next prime is 101438653. The reversal of 101438640 is 46834101.

101438640 is a `hidden beast` number, since 1 + 0 + 14 + 3 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63289 + ... + 64871.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2^101438640 is an apocalyptic number.

101438640 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 101438640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172355040).

101438640 is an abundant number, since it is smaller than the sum of its proper divisors (243271440).

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

101438640 is a wasteful number, since it uses less digits than its factorization.

101438640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 101438640 is about 10071.6751337600. The cubic root of 101438640 is about 466.3741522864.

The spelling of 101438640 in words is "one hundred one million, four hundred thirty-eight thousand, six hundred forty".