101667780 has 72 divisors (see below), whose sum is σ = 314240472. Its totient is φ = 26597376.

The previous prime is 101667773. The next prime is 101667799. The reversal of 101667780 is 87766101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 99082116 = 1608^2 + 9954^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 4212 + ... + 14868.

It is an arithmetic number, because the mean of its divisors is an integer number (4364451).

Almost surely, 2^101667780 is an apocalyptic number.

101667780 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 101667780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157120236).

101667780 is an abundant number, since it is smaller than the sum of its proper divisors (212572692).

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

101667780 is a wasteful number, since it uses less digits than its factorization.

101667780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10725 (or 10720 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 101667780 is about 10083.0441831820. The cubic root of 101667780 is about 466.7250527855.

The spelling of 101667780 in words is "one hundred one million, six hundred sixty-seven thousand, seven hundred eighty".