10017292032 has 216 divisors, whose sum is σ = 32677182720. Its totient is φ = 3035335680.

The previous prime is 10017292013. The next prime is 10017292037. The reversal of 10017292032 is 23029271001.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×10017292032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10017291987 and 10017292005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10017292037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676969 + ... + 691607.

Almost surely, 2^10017292032 is an apocalyptic number.

10017292032 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 10017292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338591360).

10017292032 is an abundant number, since it is smaller than the sum of its proper divisors (22659890688).

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

10017292032 is an equidigital number, since it uses as much as digits as its factorization.

10017292032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14681 (or 14655 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10017292032 in words is "ten billion, seventeen million, two hundred ninety-two thousand, thirty-two".