100390735683742 has 16 divisors (see below), whose sum is σ = 175610616357600. Its totient is φ = 43024601007024.

The previous prime is 100390735683731. The next prime is 100390735683883. The reversal of 100390735683742 is 247386537093001.

It is a super-2 number, since 2×100390735683742² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73171089463 + ... + 73171090834.

It is an arithmetic number, because the mean of its divisors is an integer number (10975663522350).

It is a 1-persistent number, because it is pandigital, but 2⋅100390735683742 = 200781471367484 is not.

Almost surely, 2^{100390735683742} is an apocalyptic number.

100390735683742 is a deficient number, since it is larger than the sum of its proper divisors (75219880673858).

100390735683742 is an equidigital number, since it uses as much as digits as its factorization.

100390735683742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146342180320 (or 146342180306 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 58.

The spelling of 100390735683742 in words is "one hundred trillion, three hundred ninety billion, seven hundred thirty-five million, six hundred eighty-three thousand, seven hundred forty-two".