101405429 has 2 divisors, whose sum is σ = 101405430. Its totient is φ = 101405428.

The previous prime is 101405417. The next prime is 101405453. The reversal of 101405429 is 924504101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101404900 + 529 = 10070^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 101405429 - 2²⁰ = 100356853 is a prime.

It is a super-2 number, since 2×101405429² = 20566122061348082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101405398 and 101405407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101455429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50702714 + 50702715.

It is an arithmetic number, because the mean of its divisors is an integer number (50702715).

Almost surely, 2^101405429 is an apocalyptic number.

It is an amenable number.

101405429 is a deficient number, since it is larger than the sum of its proper divisors (1).

101405429 is an equidigital number, since it uses as much as digits as its factorization.

101405429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 101405429 is about 10070.0262661028. The cubic root of 101405429 is about 466.3232497814.

The spelling of 101405429 in words is "one hundred one million, four hundred five thousand, four hundred twenty-nine".