101348793 has 96 divisors (see below), whose sum is σ = 196761600. Its totient is φ = 50341824.

The previous prime is 101348791. The next prime is 101348813. The reversal of 101348793 is 397843101.

It is a happy number.

It is not a de Polignac number, because 101348793 - 2¹ = 101348791 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101348791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 606796 + ... + 606962.

It is an arithmetic number, because the mean of its divisors is an integer number (2049600).

Almost surely, 2^101348793 is an apocalyptic number.

101348793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101348793 is a deficient number, since it is larger than the sum of its proper divisors (95412807).

101348793 is a wasteful number, since it uses less digits than its factorization.

101348793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 101348793 is about 10067.2137654865. The cubic root of 101348793 is about 466.2364181320.

The spelling of 101348793 in words is "one hundred one million, three hundred forty-eight thousand, seven hundred ninety-three".