106051050750 has 256 divisors, whose sum is σ = 292254842880. Its totient is φ = 25494480000.

The previous prime is 106051050733. The next prime is 106051050761. The reversal of 106051050750 is 57050150601.

It is a super-2 number, since 2×106051050750² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 73087525 + ... + 73088975.

It is an arithmetic number, because the mean of its divisors is an integer number (1141620480).

Almost surely, 2^106051050750 is an apocalyptic number.

106051050750 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 106051050750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146127421440).

106051050750 is an abundant number, since it is smaller than the sum of its proper divisors (186203792130).

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

106051050750 is a wasteful number, since it uses less digits than its factorization.

106051050750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 30.

The spelling of 106051050750 in words is "one hundred six billion, fifty-one million, fifty thousand, seven hundred fifty".