106055362560 has 768 divisors, whose sum is σ = 415285678080. Its totient is φ = 22578462720.

The previous prime is 106055362559. The next prime is 106055362579. The reversal of 106055362560 is 65263550601.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×106055362560² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202782459 + ... + 202782981.

It is an arithmetic number, because the mean of its divisors is an integer number (540736560).

Almost surely, 2^106055362560 is an apocalyptic number.

106055362560 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 106055362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207642839040).

106055362560 is an abundant number, since it is smaller than the sum of its proper divisors (309230315520).

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

106055362560 is a wasteful number, since it uses less digits than its factorization.

106055362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 106055362560 in words is "one hundred six billion, fifty-five million, three hundred sixty-two thousand, five hundred sixty".