106441153036125 has 32 divisors (see below), whose sum is σ = 177441878040960. Its totient is φ = 56664833097600.

The previous prime is 106441153036061. The next prime is 106441153036139. The reversal of 106441153036125 is 521630351144601.

It is not a de Polignac number, because 106441153036125 - 2⁶ = 106441153036061 is a prime.

It is a super-2 number, since 2×106441153036125² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259249240 + ... + 259659489.

It is an arithmetic number, because the mean of its divisors is an integer number (5545058688780).

Almost surely, 2^{106441153036125} is an apocalyptic number.

106441153036125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106441153036125 is a deficient number, since it is larger than the sum of its proper divisors (71000725004835).

106441153036125 is an equidigital number, since it uses as much as digits as its factorization.

106441153036125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518909294 (or 518909284 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 106441153036125 in words is "one hundred six trillion, four hundred forty-one billion, one hundred fifty-three million, thirty-six thousand, one hundred twenty-five".