10020978 has 72 divisors (see below), whose sum is σ = 24648624. Its totient is φ = 2938320.

The previous prime is 10020977. The next prime is 10021001. The reversal of 10020978 is 87902001.

It is a super-3 number, since 3×10020978³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10020971) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 93601 + ... + 93707.

It is an arithmetic number, because the mean of its divisors is an integer number (342342).

Almost surely, 2^10020978 is an apocalyptic number.

10020978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324312).

10020978 is an abundant number, since it is smaller than the sum of its proper divisors (14627646).

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

10020978 is a wasteful number, since it uses less digits than its factorization.

10020978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10020978 is about 3165.5928354733. The cubic root of 10020978 is about 215.5940162160.

Adding to 10020978 its reverse (87902001), we get a palindrome (97922979).

The spelling of 10020978 in words is "ten million, twenty thousand, nine hundred seventy-eight".