101405829 has 16 divisors (see below), whose sum is σ = 155512448. Its totient is φ = 57575232.

The previous prime is 101405819. The next prime is 101405839. The reversal of 101405829 is 928504101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101405819) and next prime (101405839).

It is not a de Polignac number, because 101405829 - 2⁴ = 101405813 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101405796 and 101405805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101405819) 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 15 ways as a sum of consecutive naturals, for example, 12082 + ... + 18675.

It is an arithmetic number, because the mean of its divisors is an integer number (9719528).

Almost surely, 2^101405829 is an apocalyptic number.

It is an amenable number.

101405829 is a deficient number, since it is larger than the sum of its proper divisors (54106619).

101405829 is a wasteful number, since it uses less digits than its factorization.

101405829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30924.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 101405829 is about 10070.0461270046. The cubic root of 101405829 is about 466.3238629276.

The spelling of 101405829 in words is "one hundred one million, four hundred five thousand, eight hundred twenty-nine".