1086102967950 has 384 divisors, whose sum is σ = 4018332810240. Its totient is φ = 208323187200.

The previous prime is 1086102967921. The next prime is 1086102967987. The reversal of 1086102967950 is 597692016801.

1086102967950 is a `hidden beast` number, since 10 + 8 + 610 + 2 + 9 + 6 + 7 + 9 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

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 191 ways as a sum of consecutive naturals, for example, 949492 + ... + 1753208.

It is an arithmetic number, because the mean of its divisors is an integer number (10464408360).

Almost surely, 2^{1086102967950} is an apocalyptic number.

1086102967950 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 1086102967950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009166405120).

1086102967950 is an abundant number, since it is smaller than the sum of its proper divisors (2932229842290).

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

1086102967950 is a wasteful number, since it uses less digits than its factorization.

1086102967950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803769 (or 803758 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1086102967950 in words is "one trillion, eighty-six billion, one hundred two million, nine hundred sixty-seven thousand, nine hundred fifty".