106250625153 has 80 divisors (see below), whose sum is σ = 166611726336. Its totient is φ = 67689049680.

The previous prime is 106250625137. The next prime is 106250625157. The reversal of 106250625153 is 351526052601.

106250625153 is a `hidden beast` number, since 1 + 0 + 6 + 25 + 0 + 625 + 1 + 5 + 3 = 666.

It is not a de Polignac number, because 106250625153 - 2⁴ = 106250625137 is a prime.

It is a super-2 number, since 2×106250625153² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106250625157) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39778008 + ... + 39780678.

Almost surely, 2^106250625153 is an apocalyptic number.

It is an amenable number.

106250625153 is a deficient number, since it is larger than the sum of its proper divisors (60361101183).

106250625153 is an frugal number, since it uses more digits than its factorization.

106250625153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 106250625153 its reverse (351526052601), we get a palindrome (457776677754).

The spelling of 106250625153 in words is "one hundred six billion, two hundred fifty million, six hundred twenty-five thousand, one hundred fifty-three".