101793906 has 48 divisors (see below), whose sum is σ = 242274240. Its totient is φ = 30745440.

The previous prime is 101793889. The next prime is 101793917. The reversal of 101793906 is 609397101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1396 + ... + 14336.

It is an arithmetic number, because the mean of its divisors is an integer number (5047380).

Almost surely, 2^101793906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101793906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121137120).

101793906 is an abundant number, since it is smaller than the sum of its proper divisors (140480334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101793906 is a wasteful number, since it uses less digits than its factorization.

101793906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12991 (or 12988 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 101793906 is about 10089.2966058095. The cubic root of 101793906 is about 466.9179747327.

The spelling of 101793906 in words is "one hundred one million, seven hundred ninety-three thousand, nine hundred six".