101733138 has 64 divisors (see below), whose sum is σ = 244769280. Its totient is φ = 31135104.

The previous prime is 101733133. The next prime is 101733157. The reversal of 101733138 is 831337101.

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

It is not an unprimeable number, because it can be changed into a prime (101733133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219495 + ... + 219957.

It is an arithmetic number, because the mean of its divisors is an integer number (3824520).

Almost surely, 2^101733138 is an apocalyptic number.

101733138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101733138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122384640).

101733138 is an abundant number, since it is smaller than the sum of its proper divisors (143036142).

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

101733138 is a wasteful number, since it uses less digits than its factorization.

101733138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 101733138 is about 10086.2846479762. The cubic root of 101733138 is about 466.8250440896.

The spelling of 101733138 in words is "one hundred one million, seven hundred thirty-three thousand, one hundred thirty-eight".