101949409 has 9 divisors (see below), whose sum is σ = 106818033. Its totient is φ = 97294692.

The previous prime is 101949403. The next prime is 101949451. The reversal of 101949409 is 904949101.

The square root of 101949409 is 10097.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 101949409 - 2³ = 101949401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101949401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 232012 + ... + 232450.

Almost surely, 2^101949409 is an apocalyptic number.

101949409 is the 10097-th square number.

101949409 is the 5049-th centered octagonal number.

It is an amenable number.

101949409 is a deficient number, since it is larger than the sum of its proper divisors (4868624).

101949409 is an frugal number, since it uses more digits than its factorization.

101949409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The cubic root of 101949409 is about 467.1556124192.

Multiplying 101949409 by its product of nonzero digits (11664), we get a square (1189137906576 = 1090476²).

The spelling of 101949409 in words is "one hundred one million, nine hundred forty-nine thousand, four hundred nine".