101366748 has 96 divisors (see below), whose sum is σ = 316198400. Its totient is φ = 27433728.

The previous prime is 101366743. The next prime is 101366761. The reversal of 101366748 is 847663101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101366743) 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, 10836 + ... + 17892.

Almost surely, 2^101366748 is an apocalyptic number.

101366748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101366748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158099200).

101366748 is an abundant number, since it is smaller than the sum of its proper divisors (214831652).

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

101366748 is a wasteful number, since it uses less digits than its factorization.

101366748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7088 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 101366748 is about 10068.1054821650. The cubic root of 101366748 is about 466.2639493942.

The spelling of 101366748 in words is "one hundred one million, three hundred sixty-six thousand, seven hundred forty-eight".