101000034 has 72 divisors (see below), whose sum is σ = 233822160. Its totient is φ = 32700024.

The previous prime is 101000027. The next prime is 101000051. The reversal of 101000034 is 430000101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564157 + ... + 564335.

It is an arithmetic number, because the mean of its divisors is an integer number (3247530).

Almost surely, 2^101000034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116911080).

101000034 is an abundant number, since it is smaller than the sum of its proper divisors (132822126).

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

101000034 is an frugal number, since it uses more digits than its factorization.

101000034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

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

The square root of 101000034 is about 10049.8773126840. The cubic root of 101000034 is about 465.7010030373.

Adding to 101000034 its reverse (430000101), we get a palindrome (531000135).

The spelling of 101000034 in words is "one hundred one million, thirty-four", and thus it is an aban number.