101058048 has 240 divisors, whose sum is σ = 360456096. Its totient is φ = 26542080.

The previous prime is 101057993. The next prime is 101058049. The reversal of 101058048 is 840850101.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101058049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419208 + ... + 419448.

Almost surely, 2^101058048 is an apocalyptic number.

101058048 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 101058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180228048).

101058048 is an abundant number, since it is smaller than the sum of its proper divisors (259398048).

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

101058048 is a wasteful number, since it uses less digits than its factorization.

101058048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 101058048 is about 10052.7632022246. The cubic root of 101058048 is about 465.7901515445.

The spelling of 101058048 in words is "one hundred one million, fifty-eight thousand, forty-eight".