101042640 has 200 divisors, whose sum is σ = 362976768. Its totient is φ = 26023680.

The previous prime is 101042593. The next prime is 101042651. The reversal of 101042640 is 46240101.

101042640 is a `hidden beast` number, since 10 + 10 + 4 + 2 + 640 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200629 + ... + 201131.

Almost surely, 2^101042640 is an apocalyptic number.

101042640 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 101042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181488384).

101042640 is an abundant number, since it is smaller than the sum of its proper divisors (261934128).

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

101042640 is a wasteful number, since it uses less digits than its factorization.

101042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101042640 is about 10051.9968165534. The cubic root of 101042640 is about 465.7664778257.

Adding to 101042640 its reverse (46240101), we get a palindrome (147282741).

The spelling of 101042640 in words is "one hundred one million, forty-two thousand, six hundred forty".