106189953424 has 45 divisors (see below), whose sum is σ = 210989735841. Its totient is φ = 51773907840.

The previous prime is 106189953403. The next prime is 106189953469. The reversal of 106189953424 is 424359981601.

The square root of 106189953424 is 325868.

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., 5116827024 + 101073126400 = 71532^2 + 317920^2 .

It is a super-2 number, since 2×106189953424² (a number of 23 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 8 ways as a sum of consecutive naturals, for example, 53441359 + ... + 53443345.

Almost surely, 2^106189953424 is an apocalyptic number.

106189953424 is the 325868-th square number.

It is an amenable number.

106189953424 is a deficient number, since it is larger than the sum of its proper divisors (104799782417).

106189953424 is an frugal number, since it uses more digits than its factorization.

106189953424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 106189953424 in words is "one hundred six billion, one hundred eighty-nine million, nine hundred fifty-three thousand, four hundred twenty-four".