10102555440 has 160 divisors (see below), whose sum is σ = 34846103040. Its totient is φ = 2690267904.

The previous prime is 10102555387. The next prime is 10102555447. The reversal of 10102555440 is 4455520101.

10102555440 is a `hidden beast` number, since 1 + 0 + 102 + 5 + 554 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10102555447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1774839 + ... + 1780521.

It is an arithmetic number, because the mean of its divisors is an integer number (217788144).

Almost surely, 2^10102555440 is an apocalyptic number.

10102555440 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 10102555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17423051520).

10102555440 is an abundant number, since it is smaller than the sum of its proper divisors (24743547600).

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

10102555440 is a wasteful number, since it uses less digits than its factorization.

10102555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6516 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 10102555440 in words is "ten billion, one hundred two million, five hundred fifty-five thousand, four hundred forty".