101354748 has 144 divisors (see below), whose sum is σ = 288271872. Its totient is φ = 27379200.

The previous prime is 101354711. The next prime is 101354753. The reversal of 101354748 is 847453101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2156461 + ... + 2156507.

It is an arithmetic number, because the mean of its divisors is an integer number (2001888).

Almost surely, 2^101354748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101354748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144135936).

101354748 is an abundant number, since it is smaller than the sum of its proper divisors (186917124).

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

101354748 is a wasteful number, since it uses less digits than its factorization.

101354748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 101354748 is about 10067.5095232138. The cubic root of 101354748 is about 466.2455495793.

The spelling of 101354748 in words is "one hundred one million, three hundred fifty-four thousand, seven hundred forty-eight".