106015611100 has 108 divisors (see below), whose sum is σ = 273308194656. Its totient is φ = 35574766080.

The previous prime is 106015611073. The next prime is 106015611109. The reversal of 106015611100 is 1116510601.

It is a super-2 number, since 2×106015611100² (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 (106015611109) by changing a digit.

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, 132 + ... + 460468.

It is an arithmetic number, because the mean of its divisors is an integer number (2530631432).

Almost surely, 2^106015611100 is an apocalyptic number.

106015611100 is a gapful number since it is divisible by the number (10) 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 106015611100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136654097328).

106015611100 is an abundant number, since it is smaller than the sum of its proper divisors (167292583556).

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

106015611100 is a wasteful number, since it uses less digits than its factorization.

106015611100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460412 (or 460398 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 106015611100 in words is "one hundred six billion, fifteen million, six hundred eleven thousand, one hundred".