106188253773 has 32 divisors (see below), whose sum is σ = 171349032960. Its totient is φ = 57102954240.

The previous prime is 106188253753. The next prime is 106188253789. The reversal of 106188253773 is 377352881601.

It is not a de Polignac number, because 106188253773 - 2⁹ = 106188253261 is a prime.

It is a super-2 number, since 2×106188253773² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106188253753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5301808 + ... + 5321798.

It is an arithmetic number, because the mean of its divisors is an integer number (5354657280).

Almost surely, 2^106188253773 is an apocalyptic number.

It is an amenable number.

106188253773 is a deficient number, since it is larger than the sum of its proper divisors (65160779187).

106188253773 is a wasteful number, since it uses less digits than its factorization.

106188253773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34897.

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 106188253773 in words is "one hundred six billion, one hundred eighty-eight million, two hundred fifty-three thousand, seven hundred seventy-three".