140981968100 has 36 divisors (see below), whose sum is σ = 305947727988. Its totient is φ = 56389680000.

The previous prime is 140981968087. The next prime is 140981968117. The reversal of 140981968100 is 1869189041.

It can be written as a sum of positive squares in 6 ways, for example, as 422960356 + 140559007744 = 20566^2 + 374912^2 .

It is a super-2 number, since 2×140981968100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2865710 + ... + 2914490.

Almost surely, 2^140981968100 is an apocalyptic number.

140981968100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140981968100 is an abundant number, since it is smaller than the sum of its proper divisors (164965759888).

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

140981968100 is a wasteful number, since it uses less digits than its factorization.

140981968100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77696 (or 77689 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 47.

The spelling of 140981968100 in words is "one hundred forty billion, nine hundred eighty-one million, nine hundred sixty-eight thousand, one hundred".