10029492 has 144 divisors (see below), whose sum is σ = 30750720. Its totient is φ = 2721600.

The previous prime is 10029451. The next prime is 10029497. The reversal of 10029492 is 29492001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10029497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233223 + ... + 233265.

Almost surely, 2^10029492 is an apocalyptic number.

10029492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10029492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375360).

10029492 is an abundant number, since it is smaller than the sum of its proper divisors (20721228).

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

10029492 is a wasteful number, since it uses less digits than its factorization.

10029492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10029492 is about 3166.9373217669. The cubic root of 10029492 is about 215.6550564277.

It can be divided in two parts, 100 and 29492, that added together give a palindrome (29592).

The spelling of 10029492 in words is "ten million, twenty-nine thousand, four hundred ninety-two".