106136948736 has 624 divisors, whose sum is σ = 390698904960. Its totient is φ = 27002142720.

The previous prime is 106136948711. The next prime is 106136948737. The reversal of 106136948736 is 637849631601.

It is a happy number.

106136948736 is a `hidden beast` number, since 10 + 61 + 3 + 69 + 487 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×106136948736² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106136948737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97283551 + ... + 97284641.

It is an arithmetic number, because the mean of its divisors is an integer number (626120040).

Almost surely, 2^106136948736 is an apocalyptic number.

106136948736 is a gapful number since it is divisible by the number (16) 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 106136948736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195349452480).

106136948736 is an abundant number, since it is smaller than the sum of its proper divisors (284561956224).

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

106136948736 is a wasteful number, since it uses less digits than its factorization.

106136948736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 106136948736 in words is "one hundred six billion, one hundred thirty-six million, nine hundred forty-eight thousand, seven hundred thirty-six".