10102947840 has 360 divisors, whose sum is σ = 35699777568. Its totient is φ = 2642411520.

The previous prime is 10102947787. The next prime is 10102947847. The reversal of 10102947840 is 4874920101.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10102947795 and 10102947804.

It is not an unprimeable number, because it can be changed into a prime (10102947847) 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 23 ways as a sum of consecutive naturals, for example, 52346784 + ... + 52346976.

Almost surely, 2^10102947840 is an apocalyptic number.

10102947840 is a gapful number since it is divisible by the number (10) 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 10102947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849888784).

10102947840 is an abundant number, since it is smaller than the sum of its proper divisors (25596829728).

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

10102947840 is an equidigital number, since it uses as much as digits as its factorization.

10102947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10102947840 in words is "ten billion, one hundred two million, nine hundred forty-seven thousand, eight hundred forty".