101780020 has 36 divisors (see below), whose sum is σ = 227063340. Its totient is φ = 38315008.

The previous prime is 101780009. The next prime is 101780047. The reversal of 101780020 is 20087101.

It can be written as a sum of positive squares in 6 ways, for example, as 11985444 + 89794576 = 3462^2 + 9476^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101780020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3025 + ... + 14584.

It is an arithmetic number, because the mean of its divisors is an integer number (6307315).

Almost surely, 2^101780020 is an apocalyptic number.

101780020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101780020 is an abundant number, since it is smaller than the sum of its proper divisors (125283320).

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

101780020 is a wasteful number, since it uses less digits than its factorization.

101780020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17652 (or 17633 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 101780020 is about 10088.6084273303. The cubic root of 101780020 is about 466.8967425585.

The spelling of 101780020 in words is "one hundred one million, seven hundred eighty thousand, twenty".