10037034 has 80 divisors (see below), whose sum is σ = 26345088. Its totient is φ = 2796768.

The previous prime is 10037023. The next prime is 10037081. The reversal of 10037034 is 43073001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10036998 and 10037016.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 60019 + ... + 60185.

Almost surely, 2^10037034 is an apocalyptic number.

10037034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10037034 is the 2004-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10037034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544).

10037034 is an abundant number, since it is smaller than the sum of its proper divisors (16308054).

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

10037034 is a wasteful number, since it uses less digits than its factorization.

10037034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 10037034 is about 3168.1278383298. The cubic root of 10037034 is about 215.7090991420.

The spelling of 10037034 in words is "ten million, thirty-seven thousand, thirty-four".