101641356 has 18 divisors (see below), whose sum is σ = 256926852. Its totient is φ = 33880440.

The previous prime is 101641339. The next prime is 101641361. The reversal of 101641356 is 653146101.

101641356 is a `hidden beast` number, since 10 + 1 + 641 + 3 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×101641356³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1411650 + ... + 1411721.

It is an arithmetic number, because the mean of its divisors is an integer number (14273714).

Almost surely, 2^101641356 is an apocalyptic number.

It is an amenable number.

101641356 is an abundant number, since it is smaller than the sum of its proper divisors (155285496).

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

101641356 is a wasteful number, since it uses less digits than its factorization.

101641356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823381 (or 2823376 counting only the distinct ones).

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

The square root of 101641356 is about 10081.7337794647. The cubic root of 101641356 is about 466.6846145025.

Adding to 101641356 its reverse (653146101), we get a palindrome (754787457).

The spelling of 101641356 in words is "one hundred one million, six hundred forty-one thousand, three hundred fifty-six".