101034039 has 16 divisors (see below), whose sum is σ = 143187200. Its totient is φ = 63187776.

The previous prime is 101034029. The next prime is 101034041. The reversal of 101034039 is 930430101.

It is not a de Polignac number, because 101034039 - 2¹⁶ = 100968503 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101034029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2734 + ... + 14475.

It is an arithmetic number, because the mean of its divisors is an integer number (8949200).

Almost surely, 2^101034039 is an apocalyptic number.

101034039 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101034039 is a deficient number, since it is larger than the sum of its proper divisors (42153161).

101034039 is a wasteful number, since it uses less digits than its factorization.

101034039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17334.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 101034039 is about 10051.5689820047. The cubic root of 101034039 is about 465.7532617183.

The spelling of 101034039 in words is "one hundred one million, thirty-four thousand, thirty-nine".