10751105970 has 256 divisors, whose sum is σ = 33695170560. Its totient is φ = 2412115200.

The previous prime is 10751105957. The next prime is 10751105987. The reversal of 10751105970 is 7950115701.

10751105970 is a `hidden beast` number, since 1 + 0 + 7 + 51 + 10 + 597 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2115072 + ... + 2120148.

It is an arithmetic number, because the mean of its divisors is an integer number (131621760).

Almost surely, 2^10751105970 is an apocalyptic number.

10751105970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10751105970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16847585280).

10751105970 is an abundant number, since it is smaller than the sum of its proper divisors (22944064590).

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

10751105970 is a wasteful number, since it uses less digits than its factorization.

10751105970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 36.

The spelling of 10751105970 in words is "ten billion, seven hundred fifty-one million, one hundred five thousand, nine hundred seventy".