101056020 has 192 divisors, whose sum is σ = 327849984. Its totient is φ = 23063040.

The previous prime is 101055979. The next prime is 101056027. The reversal of 101056020 is 20650101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101056027) by changing a digit.

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, 771355 + ... + 771485.

It is an arithmetic number, because the mean of its divisors is an integer number (1707552).

Almost surely, 2^101056020 is an apocalyptic number.

101056020 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 101056020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163924992).

101056020 is an abundant number, since it is smaller than the sum of its proper divisors (226793964).

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

101056020 is a wasteful number, since it uses less digits than its factorization.

101056020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 101056020 is about 10052.6623339293. The cubic root of 101056020 is about 465.7870357486.

The spelling of 101056020 in words is "one hundred one million, fifty-six thousand, twenty".