106500624967396 has 81 divisors (see below), whose sum is σ = 209753874126153. Its totient is φ = 47279241203040.

The previous prime is 106500624967351. The next prime is 106500624967409. The reversal of 106500624967396 is 693769426005601.

The square root of 106500624967396 is 10319914.

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

It can be written as a sum of positive squares in only one way, i.e., 25052887941796 + 81447737025600 = 5005286^2 + 9024840^2 .

It is a super-2 number, since 2×106500624967396² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9762633190 + ... + 9762644098.

Almost surely, 2^{106500624967396} is an apocalyptic number.

106500624967396 is the 10319914-th square number.

It is an amenable number.

106500624967396 is a deficient number, since it is larger than the sum of its proper divisors (103253249158757).

106500624967396 is an frugal number, since it uses more digits than its factorization.

106500624967396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21930 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 64.

The spelling of 106500624967396 in words is "one hundred six trillion, five hundred billion, six hundred twenty-four million, nine hundred sixty-seven thousand, three hundred ninety-six".