101084997 has 16 divisors (see below), whose sum is σ = 152788160. Its totient is φ = 58931712.

The previous prime is 101084993. The next prime is 101085001. The reversal of 101084997 is 799480101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101084993) and next prime (101085001).

It is not a de Polignac number, because 101084997 - 2² = 101084993 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101084993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67468 + ... + 68949.

It is an arithmetic number, because the mean of its divisors is an integer number (9549260).

Almost surely, 2^101084997 is an apocalyptic number.

It is an amenable number.

101084997 is a deficient number, since it is larger than the sum of its proper divisors (51703163).

101084997 is a wasteful number, since it uses less digits than its factorization.

101084997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136452.

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

The square root of 101084997 is about 10054.1034906152. The cubic root of 101084997 is about 465.8315517213.

The spelling of 101084997 in words is "one hundred one million, eighty-four thousand, nine hundred ninety-seven".