100953984427396 has 27 divisors (see below), whose sum is σ = 177104953588143. Its totient is φ = 50352874383840.

The previous prime is 100953984427357. The next prime is 100953984427399. The reversal of 100953984427396 is 693724489359001.

The square root of 100953984427396 is 10047586.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11014101562500 + 89939882864896 = 3318750^2 + 9483664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100953984427399) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8460061446 + ... + 8460073378.

It is a 1-persistent number, because it is pandigital, but 2⋅100953984427396 = 201907968854792 is not.

Almost surely, 2^{100953984427396} is an apocalyptic number.

100953984427396 is the 10047586-th square number.

It is an amenable number.

100953984427396 is a deficient number, since it is larger than the sum of its proper divisors (76150969160747).

100953984427396 is an frugal number, since it uses more digits than its factorization.

100953984427396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24712 (or 12356 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 70.

The spelling of 100953984427396 in words is "one hundred trillion, nine hundred fifty-three billion, nine hundred eighty-four million, four hundred twenty-seven thousand, three hundred ninety-six".