101054844 has 192 divisors, whose sum is σ = 311539200. Its totient is φ = 28226880.

The previous prime is 101054831. The next prime is 101054887. The reversal of 101054844 is 448450101.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2731194 + ... + 2731230.

It is an arithmetic number, because the mean of its divisors is an integer number (1622600).

Almost surely, 2^101054844 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 101054844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155769600).

101054844 is an abundant number, since it is smaller than the sum of its proper divisors (210484356).

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

101054844 is a wasteful number, since it uses less digits than its factorization.

101054844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 101054844 is about 10052.6038417914. The cubic root of 101054844 is about 465.7852289367.

The spelling of 101054844 in words is "one hundred one million, fifty-four thousand, eight hundred forty-four".