101361620 has 36 divisors (see below), whose sum is σ = 216275220. Its totient is φ = 39904128.

The previous prime is 101361613. The next prime is 101361647. The reversal of 101361620 is 26163101.

It can be written as a sum of positive squares in 2 ways, for example, as 20757136 + 80604484 = 4556^2 + 8978^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101361592 and 101361601.

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 11 ways as a sum of consecutive naturals, for example, 89216 + ... + 90344.

It is an arithmetic number, because the mean of its divisors is an integer number (6007645).

Almost surely, 2^101361620 is an apocalyptic number.

101361620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101361620 is an abundant number, since it is smaller than the sum of its proper divisors (114913600).

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

101361620 is a wasteful number, since it uses less digits than its factorization.

101361620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 101361620 is about 10067.8508133563. The cubic root of 101361620 is about 466.2560867177.

The spelling of 101361620 in words is "one hundred one million, three hundred sixty-one thousand, six hundred twenty".