101625420 has 96 divisors (see below), whose sum is σ = 309419712. Its totient is φ = 24772608.

The previous prime is 101625401. The next prime is 101625437. The reversal of 101625420 is 24526101.

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 31 ways as a sum of consecutive naturals, for example, 87564 + ... + 88716.

It is an arithmetic number, because the mean of its divisors is an integer number (3223122).

Almost surely, 2^101625420 is an apocalyptic number.

101625420 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 101625420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154709856).

101625420 is an abundant number, since it is smaller than the sum of its proper divisors (207794292).

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

101625420 is a wasteful number, since it uses less digits than its factorization.

101625420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 101625420 is about 10080.9434082332. The cubic root of 101625420 is about 466.6602232670.

It can be divided in two parts, 101 and 625420, that added together give a triangular number (625521 = T₁₁₁₈).

The spelling of 101625420 in words is "one hundred one million, six hundred twenty-five thousand, four hundred twenty".