101934 has 24 divisors (see below), whose sum is σ = 252720. Its totient is φ = 29088.

The previous prime is 101929. The next prime is 101939. The reversal of 101934 is 439101.

It is an interprime number because it is at equal distance from previous prime (101929) and next prime (101939).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2¹⁰¹⁹³⁴ is an apocalyptic number.

101934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101934 is an abundant number, since it is smaller than the sum of its proper divisors (150786).

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

101934 is a wasteful number, since it uses less digits than its factorization.

101934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101934 is about 319.2710447253. The cubic root of 101934 is about 46.7132075374.

It can be divided in two parts, 101 and 934, that added together give a triangular number (1035 = T₄₅).

The spelling of 101934 in words is "one hundred one thousand, nine hundred thirty-four".