101006640 has 240 divisors, whose sum is σ = 396552000. Its totient is φ = 23030784.

The previous prime is 101006627. The next prime is 101006671. The reversal of 101006640 is 46600101.

101006640 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 664 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 246756 + ... + 247164.

It is an arithmetic number, because the mean of its divisors is an integer number (1652300).

Almost surely, 2^101006640 is an apocalyptic number.

101006640 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 101006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198276000).

101006640 is an abundant number, since it is smaller than the sum of its proper divisors (295545360).

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

101006640 is a wasteful number, since it uses less digits than its factorization.

101006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101006640 is about 10050.2059680387. The cubic root of 101006640 is about 465.7111560165.

Adding to 101006640 its reverse (46600101), we get a palindrome (147606741).

The spelling of 101006640 in words is "one hundred one million, six thousand, six hundred forty".