101493405 has 80 divisors (see below), whose sum is σ = 201613104. Its totient is φ = 48522240.

The previous prime is 101493401. The next prime is 101493407. The reversal of 101493405 is 504394101.

It can be written as a sum of positive squares in 8 ways, for example, as 2232036 + 99261369 = 1494^2 + 9963^2 .

It is not a de Polignac number, because 101493405 - 2² = 101493401 is a prime.

It is a super-2 number, since 2×101493405² = 20601822516988050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101493401) 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 79 ways as a sum of consecutive naturals, for example, 194545 + ... + 195065.

Almost surely, 2^101493405 is an apocalyptic number.

101493405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101493405 is a deficient number, since it is larger than the sum of its proper divisors (100119699).

101493405 is a wasteful number, since it uses less digits than its factorization.

101493405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 101493405 is about 10074.3935301337. The cubic root of 101493405 is about 466.4580663499.

The spelling of 101493405 in words is "one hundred one million, four hundred ninety-three thousand, four hundred five".