106100606100500 has 288 divisors, whose sum is σ = 256679825246208. Its totient is φ = 37996200000000.

The previous prime is 106100606100443. The next prime is 106100606100563. The reversal of 106100606100500 is 5001606001601.

It is a super-2 number, since 2×106100606100500² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106100606100500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10716145550 + ... + 10716155450.

It is an arithmetic number, because the mean of its divisors is an integer number (891249393216).

Almost surely, 2^{106100606100500} is an apocalyptic number.

106100606100500 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 106100606100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128339912623104).

106100606100500 is an abundant number, since it is smaller than the sum of its proper divisors (150579219145708).

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

106100606100500 is a wasteful number, since it uses less digits than its factorization.

106100606100500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10324 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 106100606100500 in words is "one hundred six trillion, one hundred billion, six hundred six million, one hundred thousand, five hundred".