106293121398 has 40 divisors (see below), whose sum is σ = 238204781760. Its totient is φ = 35426658960.

The previous prime is 106293121373. The next prime is 106293121453. The reversal of 106293121398 is 893121392601.

It is a happy number.

106293121398 is a `hidden beast` number, since 1 + 0 + 629 + 3 + 1 + 2 + 13 + 9 + 8 = 666.

It is a super-3 number, since 3×106293121398³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 19 ways as a sum of consecutive naturals, for example, 1439643 + ... + 1511673.

It is an arithmetic number, because the mean of its divisors is an integer number (5955119544).

Almost surely, 2^106293121398 is an apocalyptic number.

106293121398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106293121398 is an abundant number, since it is smaller than the sum of its proper divisors (131911660362).

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

106293121398 is an equidigital number, since it uses as much as digits as its factorization.

106293121398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81154 (or 81145 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 106293121398 in words is "one hundred six billion, two hundred ninety-three million, one hundred twenty-one thousand, three hundred ninety-eight".