101059434 has 32 divisors (see below), whose sum is σ = 256659840. Its totient is φ = 28874016.

The previous prime is 101059433. The next prime is 101059451. The reversal of 101059434 is 434950101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101059398 and 101059407.

It is not an unprimeable number, because it can be changed into a prime (101059433) 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, 133299 + ... + 134054.

It is an arithmetic number, because the mean of its divisors is an integer number (8020620).

Almost surely, 2^101059434 is an apocalyptic number.

101059434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101059434 is an abundant number, since it is smaller than the sum of its proper divisors (155600406).

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

101059434 is a wasteful number, since it uses less digits than its factorization.

101059434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267371 (or 267365 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 101059434 is about 10052.8321382584. The cubic root of 101059434 is about 465.7922809550.

The spelling of 101059434 in words is "one hundred one million, fifty-nine thousand, four hundred thirty-four".