10300126968 has 128 divisors (see below), whose sum is σ = 29750400000. Its totient is φ = 3297926016.

The previous prime is 10300126927. The next prime is 10300126973. The reversal of 10300126968 is 86962100301.

It is a super-3 number, since 3×10300126968³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1242405 + ... + 1250667.

It is an arithmetic number, because the mean of its divisors is an integer number (232425000).

Almost surely, 2^10300126968 is an apocalyptic number.

10300126968 is a gapful number since it is divisible by the number (18) 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 10300126968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875200000).

10300126968 is an abundant number, since it is smaller than the sum of its proper divisors (19450273032).

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

10300126968 is a wasteful number, since it uses less digits than its factorization.

10300126968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506 (or 8496 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10300126968 in words is "ten billion, three hundred million, one hundred twenty-six thousand, nine hundred sixty-eight".