10258108140 has 192 divisors, whose sum is σ = 33643008000. Its totient is φ = 2286710784.

The previous prime is 10258108129. The next prime is 10258108153. The reversal of 10258108140 is 4180185201.

It is a happy number.

It is a super-2 number, since 2×10258108140² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10258108098 and 10258108107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6888516 + ... + 6890004.

It is an arithmetic number, because the mean of its divisors is an integer number (175224000).

Almost surely, 2^10258108140 is an apocalyptic number.

10258108140 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 10258108140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821504000).

10258108140 is an abundant number, since it is smaller than the sum of its proper divisors (23384899860).

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

10258108140 is a wasteful number, since it uses less digits than its factorization.

10258108140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The spelling of 10258108140 in words is "ten billion, two hundred fifty-eight million, one hundred eight thousand, one hundred forty".