101586420 has 192 divisors, whose sum is σ = 352800000. Its totient is φ = 24095232.

The previous prime is 101586413. The next prime is 101586481. The reversal of 101586420 is 24685101.

101586420 is a `hidden beast` number, since 1 + 0 + 15 + 8 + 642 + 0 = 666.

It is a super-3 number, since 3×101586420³ (a number of 25 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203331 + ... + 203829.

It is an arithmetic number, because the mean of its divisors is an integer number (1837500).

Almost surely, 2^101586420 is an apocalyptic number.

101586420 is a gapful number since it is divisible by the number (10) 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 101586420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176400000).

101586420 is an abundant number, since it is smaller than the sum of its proper divisors (251213580).

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

101586420 is a wasteful number, since it uses less digits than its factorization.

101586420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 101586420 is about 10079.0088798453. The cubic root of 101586420 is about 466.6005201031.

The spelling of 101586420 in words is "one hundred one million, five hundred eighty-six thousand, four hundred twenty".