101073973 has 32 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 70709760.

The previous prime is 101073971. The next prime is 101073991. The reversal of 101073973 is 379370101.

It is not a de Polignac number, because 101073973 - 2¹ = 101073971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101073971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35673 + ... + 38401.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^101073973 is an apocalyptic number.

101073973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101073973 is a deficient number, since it is larger than the sum of its proper divisors (38352587).

101073973 is a wasteful number, since it uses less digits than its factorization.

101073973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797.

The product of its (nonzero) digits is 3969, while the sum is 31.

The square root of 101073973 is about 10053.5552418038. Note that the first 3 decimals coincide. The cubic root of 101073973 is about 465.8146170826.

The spelling of 101073973 in words is "one hundred one million, seventy-three thousand, nine hundred seventy-three".