101892973 has 12 divisors (see below), whose sum is σ = 126097248. Its totient is φ = 80617680.

The previous prime is 101892949. The next prime is 101892983. The reversal of 101892973 is 379298101.

It is not a de Polignac number, because 101892973 - 2¹³ = 101884781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101892983) 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 11 ways as a sum of consecutive naturals, for example, 41883 + ... + 44248.

It is an arithmetic number, because the mean of its divisors is an integer number (10508104).

Almost surely, 2^101892973 is an apocalyptic number.

101892973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101892973 is a deficient number, since it is larger than the sum of its proper divisors (24204275).

101892973 is an equidigital number, since it uses as much as digits as its factorization.

101892973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86164 (or 86151 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 101892973 is about 10094.2049216370. The cubic root of 101892973 is about 467.0693956027.

The spelling of 101892973 in words is "one hundred one million, eight hundred ninety-two thousand, nine hundred seventy-three".