105627080000 has 280 divisors, whose sum is σ = 296942073120. Its totient is φ = 36944640000.

The previous prime is 105627079979. The next prime is 105627080051. The reversal of 105627080000 is 80726501.

It is a super-2 number, since 2×105627080000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9874655 + ... + 9885345.

It is an arithmetic number, because the mean of its divisors is an integer number (1060507404).

Almost surely, 2^105627080000 is an apocalyptic number.

105627080000 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 105627080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148471036560).

105627080000 is an abundant number, since it is smaller than the sum of its proper divisors (191314993120).

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

105627080000 is a wasteful number, since it uses less digits than its factorization.

105627080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10755 (or 10730 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 105627080000 in words is "one hundred five billion, six hundred twenty-seven million, eighty thousand".