101678961 has 8 divisors (see below), whose sum is σ = 138724960. Its totient is φ = 66209472.

The previous prime is 101678957. The next prime is 101679031. The reversal of 101678961 is 169876101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101678961 - 2² = 101678957 is a prime.

It is a super-2 number, since 2×101678961² = 20677222220079042, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101678261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393976 + ... + 394233.

It is an arithmetic number, because the mean of its divisors is an integer number (17340620).

Almost surely, 2^101678961 is an apocalyptic number.

It is an amenable number.

101678961 is a deficient number, since it is larger than the sum of its proper divisors (37045999).

101678961 is an equidigital number, since it uses as much as digits as its factorization.

101678961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788255.

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 101678961 is about 10083.5986135903. The cubic root of 101678961 is about 466.7421616524.

The spelling of 101678961 in words is "one hundred one million, six hundred seventy-eight thousand, nine hundred sixty-one".