101059424 has 96 divisors (see below), whose sum is σ = 226328256. Its totient is φ = 44154880.

The previous prime is 101059421. The next prime is 101059429. The reversal of 101059424 is 424950101.

101059424 = T₁₅₁ + T₁₅₂ + ... + T₈₄₇.

It is a junction number, because it is equal to n+sod(n) for n = 101059393 and 101059402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101059421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512894 + ... + 513090.

It is an arithmetic number, because the mean of its divisors is an integer number (2357586).

Almost surely, 2^101059424 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 101059424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113164128).

101059424 is an abundant number, since it is smaller than the sum of its proper divisors (125268832).

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

101059424 is a wasteful number, since it uses less digits than its factorization.

101059424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 101059424 is about 10052.8316408861. The cubic root of 101059424 is about 465.7922655913.

The spelling of 101059424 in words is "one hundred one million, fifty-nine thousand, four hundred twenty-four".