101205827343 has 12 divisors (see below), whose sum is σ = 146379317448. Its totient is φ = 67381418160.

The previous prime is 101205827341. The next prime is 101205827353. The reversal of 101205827343 is 343728502101.

101205827343 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 582 + 73 + 4 + 3 = 666.

It is not a de Polignac number, because 101205827343 - 2¹ = 101205827341 is a prime.

It is a super-2 number, since 2×101205827343² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101205827298 and 101205827307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101205827341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7420593 + ... + 7434218.

It is an arithmetic number, because the mean of its divisors is an integer number (12198276454).

Almost surely, 2^101205827343 is an apocalyptic number.

101205827343 is a deficient number, since it is larger than the sum of its proper divisors (45173490105).

101205827343 is a wasteful number, since it uses less digits than its factorization.

101205827343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14855574 (or 14855571 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 101205827343 in words is "one hundred one billion, two hundred five million, eight hundred twenty-seven thousand, three hundred forty-three".