100856541 has 24 divisors (see below), whose sum is σ = 148132800. Its totient is φ = 60914304.

The previous prime is 100856533. The next prime is 100856549. The reversal of 100856541 is 145658001.

It is an interprime number because it is at equal distance from previous prime (100856533) and next prime (100856549).

It is not a de Polignac number, because 100856541 - 2³ = 100856533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100856499 and 100856508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100856549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22885 + ... + 26933.

It is an arithmetic number, because the mean of its divisors is an integer number (6172200).

Almost surely, 2^100856541 is an apocalyptic number.

It is an amenable number.

100856541 is a deficient number, since it is larger than the sum of its proper divisors (47276259).

100856541 is a wasteful number, since it uses less digits than its factorization.

100856541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 100856541 is about 10042.7357328569. The cubic root of 100856541 is about 465.4803545784.

The spelling of 100856541 in words is "one hundred million, eight hundred fifty-six thousand, five hundred forty-one".