101361357 has 6 divisors (see below), whose sum is σ = 146410862. Its totient is φ = 67574232.

The previous prime is 101361353. The next prime is 101361397. The reversal of 101361357 is 753163101.

It can be written as a sum of positive squares in only one way, i.e., 80622441 + 20738916 = 8979^2 + 4554^2 .

It is not a de Polignac number, because 101361357 - 2² = 101361353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101361357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101361353) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5631178 + ... + 5631195.

Almost surely, 2^101361357 is an apocalyptic number.

It is an amenable number.

101361357 is a deficient number, since it is larger than the sum of its proper divisors (45049505).

101361357 is a wasteful number, since it uses less digits than its factorization.

101361357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262379 (or 11262376 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 101361357 is about 10067.8377519704. The cubic root of 101361357 is about 466.2556834570.

The spelling of 101361357 in words is "one hundred one million, three hundred sixty-one thousand, three hundred fifty-seven".