101034 has 16 divisors (see below), whose sum is σ = 224640. Its totient is φ = 33660.

The previous prime is 101027. The next prime is 101051. The reversal of 101034 is 430101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 11 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101034.

It is an unprimeable number.

101034 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2¹⁰¹⁰³⁴ is an apocalyptic number.

101034 is an abundant number, since it is smaller than the sum of its proper divisors (123606).

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

101034 is a wasteful number, since it uses less digits than its factorization.

101034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101034 is about 317.8584590663. The cubic root of 101034 is about 46.5753201790.

Adding to 101034 its reverse (430101), we get a palindrome (531135).

The spelling of 101034 in words is "one hundred one thousand, thirty-four".