101134656 has 168 divisors, whose sum is σ = 343936320. Its totient is φ = 28864512.

The previous prime is 101134619. The next prime is 101134697. The reversal of 101134656 is 656431101.

101134656 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 4 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 108400 + ... + 109328.

It is an arithmetic number, because the mean of its divisors is an integer number (2047240).

Almost surely, 2^101134656 is an apocalyptic number.

101134656 is a gapful number since it is divisible by the number (16) 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 101134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171968160).

101134656 is an abundant number, since it is smaller than the sum of its proper divisors (242801664).

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

101134656 is an frugal number, since it uses more digits than its factorization.

101134656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 101134656 is about 10056.5727760505. The cubic root of 101134656 is about 465.9078206787.

Adding to 101134656 its reverse (656431101), we get a palindrome (757565757).

The spelling of 101134656 in words is "one hundred one million, one hundred thirty-four thousand, six hundred fifty-six".