106236175449264 has 160 divisors (see below), whose sum is σ = 327603458417664. Its totient is φ = 29005380771840.

The previous prime is 106236175449253. The next prime is 106236175449269. The reversal of 106236175449264 is 462944571632601.

It is a super-2 number, since 2×106236175449264² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106236175449198 and 106236175449207.

It is not an unprimeable number, because it can be changed into a prime (106236175449269) 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, 1329144 + ... + 14636904.

Almost surely, 2^{106236175449264} is an apocalyptic number.

106236175449264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106236175449264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163801729208832).

106236175449264 is an abundant number, since it is smaller than the sum of its proper divisors (221367282968400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106236175449264 is a wasteful number, since it uses less digits than its factorization.

106236175449264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13308835 (or 13308829 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 106236175449264 in words is "one hundred six trillion, two hundred thirty-six billion, one hundred seventy-five million, four hundred forty-nine thousand, two hundred sixty-four".