106953853444 has 27 divisors (see below), whose sum is σ = 189157588501. Its totient is φ = 52914748400.

The previous prime is 106953853381. The next prime is 106953853451. The reversal of 106953853444 is 444358359601.

The square root of 106953853444 is 327038.

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., 102759995844 + 4193857600 = 320562^2 + 64760^2 .

It is a super-2 number, since 2×106953853444² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106953853391 and 106953853400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66060867 + ... + 66062485.

Almost surely, 2^106953853444 is an apocalyptic number.

106953853444 is the 327038-th square number.

It is an amenable number.

106953853444 is a deficient number, since it is larger than the sum of its proper divisors (82203735057).

106953853444 is an frugal number, since it uses more digits than its factorization.

106953853444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 106953853444 in words is "one hundred six billion, nine hundred fifty-three million, eight hundred fifty-three thousand, four hundred forty-four".