101672280 has 128 divisors (see below), whose sum is σ = 346291200. Its totient is φ = 26522496.

The previous prime is 101672279. The next prime is 101672303. The reversal of 101672280 is 82276101.

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 31 ways as a sum of consecutive naturals, for example, 49759 + ... + 51761.

It is an arithmetic number, because the mean of its divisors is an integer number (2705400).

Almost surely, 2^101672280 is an apocalyptic number.

101672280 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 101672280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173145600).

101672280 is an abundant number, since it is smaller than the sum of its proper divisors (244618920).

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

101672280 is a wasteful number, since it uses less digits than its factorization.

101672280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 101672280 is about 10083.2673276077. The cubic root of 101672280 is about 466.7319387159.

The spelling of 101672280 in words is "one hundred one million, six hundred seventy-two thousand, two hundred eighty".