106105560000 has 560 divisors, whose sum is σ = 395199095808. Its totient is φ = 24883200000.

The previous prime is 106105559971. The next prime is 106105560007. The reversal of 106105560000 is 65501601.

It is a super-2 number, since 2×106105560000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105560007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40918704 + ... + 40921296.

Almost surely, 2^106105560000 is an apocalyptic number.

106105560000 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 106105560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197599547904).

106105560000 is an abundant number, since it is smaller than the sum of its proper divisors (289093535808).

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

106105560000 is a wasteful number, since it uses less digits than its factorization.

106105560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 106105560000 in words is "one hundred six billion, one hundred five million, five hundred sixty thousand".