106111575016500 has 192 divisors, whose sum is σ = 310800859649280. Its totient is φ = 28131697267200.

The previous prime is 106111575016429. The next prime is 106111575016501. The reversal of 106111575016500 is 5610575111601.

It is a super-2 number, since 2×106111575016500² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106111575016501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178838322 + ... + 179430678.

It is an arithmetic number, because the mean of its divisors is an integer number (1618754477340).

Almost surely, 2^{106111575016500} is an apocalyptic number.

106111575016500 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 106111575016500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155400429824640).

106111575016500 is an abundant number, since it is smaller than the sum of its proper divisors (204689284632780).

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

106111575016500 is a wasteful number, since it uses less digits than its factorization.

106111575016500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593075 (or 593063 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 39.

The spelling of 106111575016500 in words is "one hundred six trillion, one hundred eleven billion, five hundred seventy-five million, sixteen thousand, five hundred".