106011215100757 has 8 divisors (see below), whose sum is σ = 106071408950040. Its totient is φ = 105951022732800.

The previous prime is 106011215100751. The next prime is 106011215100793. The reversal of 106011215100757 is 757001512110601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39546100067761 + 66465115032996 = 6288569^2 + 8152614^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106011215100757 - 2⁴³ = 97215122078549 is a prime.

It is a super-2 number, since 2×106011215100757² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106011215100751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163266219 + ... + 163914247.

It is an arithmetic number, because the mean of its divisors is an integer number (13258926118755).

Almost surely, 2^{106011215100757} is an apocalyptic number.

It is an amenable number.

106011215100757 is a deficient number, since it is larger than the sum of its proper divisors (60193849283).

106011215100757 is an equidigital number, since it uses as much as digits as its factorization.

106011215100757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740663.

The product of its (nonzero) digits is 14700, while the sum is 37.

The spelling of 106011215100757 in words is "one hundred six trillion, eleven billion, two hundred fifteen million, one hundred thousand, seven hundred fifty-seven".