101481952 has 96 divisors (see below), whose sum is σ = 238944384. Its totient is φ = 41817600.

The previous prime is 101481937. The next prime is 101482013. The reversal of 101481952 is 259184101.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 306427 + ... + 306757.

It is an arithmetic number, because the mean of its divisors is an integer number (2489004).

Almost surely, 2^101481952 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 101481952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119472192).

101481952 is an abundant number, since it is smaller than the sum of its proper divisors (137462432).

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

101481952 is a wasteful number, since it uses less digits than its factorization.

101481952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 101481952 is about 10073.8250927838. The cubic root of 101481952 is about 466.4405199054.

It can be divided in two parts, 10148 and 1952, that added together give a square (12100 = 110²).

The spelling of 101481952 in words is "one hundred one million, four hundred eighty-one thousand, nine hundred fifty-two".