106500040265120 has 24 divisors (see below), whose sum is σ = 251606345126724. Its totient is φ = 42600016105984.

The previous prime is 106500040265119. The next prime is 106500040265219. The reversal of 106500040265120 is 21562040005601.

It can be written as a sum of positive squares in 2 ways, for example, as 105537734200336 + 962306064784 = 10273156^2 + 980972^2 .

It is a super-2 number, since 2×106500040265120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332812625669 + ... + 332812625988.

Almost surely, 2^{106500040265120} is an apocalyptic number.

106500040265120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106500040265120 is an abundant number, since it is smaller than the sum of its proper divisors (145106304861604).

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

106500040265120 is an equidigital number, since it uses as much as digits as its factorization.

106500040265120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665625251672 (or 665625251664 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 106500040265120 in words is "one hundred six trillion, five hundred billion, forty million, two hundred sixty-five thousand, one hundred twenty".