106011315450 has 72 divisors (see below), whose sum is σ = 284868487488. Its totient is φ = 28264580640.

The previous prime is 106011315401. The next prime is 106011315497. The reversal of 106011315450 is 54513110601.

106011315450 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 113 + 1 + 545 + 0 = 666.

It is a super-2 number, since 2×106011315450² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2928159 + ... + 2964141.

Almost surely, 2^106011315450 is an apocalyptic number.

106011315450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106011315450 is an abundant number, since it is smaller than the sum of its proper divisors (178857172038).

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

106011315450 is a wasteful number, since it uses less digits than its factorization.

106011315450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42548 (or 42540 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 106011315450 in words is "one hundred six billion, eleven million, three hundred fifteen thousand, four hundred fifty".