101797641 has 40 divisors (see below), whose sum is σ = 169814304. Its totient is φ = 60238080.

The previous prime is 101797637. The next prime is 101797651. The reversal of 101797641 is 146797101.

101797641 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 9 + 7 + 641 = 666.

It is not a de Polignac number, because 101797641 - 2² = 101797637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101797596 and 101797605.

It is not an unprimeable number, because it can be changed into a prime (101797601) by changing a digit.

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, 36985 + ... + 39641.

Almost surely, 2^101797641 is an apocalyptic number.

101797641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101797641 is a deficient number, since it is larger than the sum of its proper divisors (68016663).

101797641 is a wasteful number, since it uses less digits than its factorization.

101797641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 101797641 is about 10089.4817012570. The cubic root of 101797641 is about 466.9236853473.

The spelling of 101797641 in words is "one hundred one million, seven hundred ninety-seven thousand, six hundred forty-one".