101993199 has 64 divisors (see below), whose sum is σ = 177085440. Its totient is φ = 51110400.

The previous prime is 101993189. The next prime is 101993207. The reversal of 101993199 is 991399101.

101993199 = T₂ + T₃ + ... + T₈₄₈.

It is not a de Polignac number, because 101993199 - 2¹¹ = 101991151 is a prime.

It is a super-2 number, since 2×101993199² = 20805225284507202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101993199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101993179) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145947 + ... + 1146035.

It is an arithmetic number, because the mean of its divisors is an integer number (2766960).

Almost surely, 2^101993199 is an apocalyptic number.

101993199 is a deficient number, since it is larger than the sum of its proper divisors (75092241).

101993199 is an equidigital number, since it uses as much as digits as its factorization.

101993199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 19683, while the sum is 42.

The square root of 101993199 is about 10099.1682330774. The cubic root of 101993199 is about 467.2224881251. Note that the first 3 decimals are identical.

The spelling of 101993199 in words is "one hundred one million, nine hundred ninety-three thousand, one hundred ninety-nine".