106401873249 has 63 divisors (see below), whose sum is σ = 179874063187. Its totient is φ = 60609268944.

The previous prime is 106401873239. The next prime is 106401873251. The reversal of 106401873249 is 942378104601.

The square root of 106401873249 is 326193.

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

106401873249 is a `hidden beast` number, since 106 + 40 + 187 + 324 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5955980625 + 100445892624 = 77175^2 + 316932^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 106401873249 - 2²⁵ = 106368318817 is a prime.

It is a super-2 number, since 2×106401873249² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106401873239) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 335652439 + ... + 335652755.

Almost surely, 2^106401873249 is an apocalyptic number.

106401873249 is the 326193-rd square number.

106401873249 is the 163097-th centered octagonal number.

It is an amenable number.

106401873249 is a deficient number, since it is larger than the sum of its proper divisors (73472189938).

106401873249 is an frugal number, since it uses more digits than its factorization.

106401873249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 106401873249 in words is "one hundred six billion, four hundred one million, eight hundred seventy-three thousand, two hundred forty-nine".