101372020 has 24 divisors (see below), whose sum is σ = 225404424. Its totient is φ = 38163456.

The previous prime is 101371999. The next prime is 101372021. The reversal of 101372020 is 20273101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35664784 + 65707236 = 5972^2 + 8106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101371985 and 101372003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101372021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148737 + ... + 149416.

It is an arithmetic number, because the mean of its divisors is an integer number (9391851).

Almost surely, 2^101372020 is an apocalyptic number.

101372020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101372020 is an abundant number, since it is smaller than the sum of its proper divisors (124032404).

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

101372020 is a wasteful number, since it uses less digits than its factorization.

101372020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298179 (or 298177 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 101372020 is about 10068.3672956443. The cubic root of 101372020 is about 466.2720325871.

The spelling of 101372020 in words is "one hundred one million, three hundred seventy-two thousand, twenty".