1010505105600 has 336 divisors, whose sum is σ = 3605200600608. Its totient is φ = 246761717760.

The previous prime is 1010505105569. The next prime is 1010505105601. The reversal of 1010505105600 is 65015050101.

It is a super-2 number, since 2×1010505105600² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1010505105601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2851854 + ... + 3186546.

Almost surely, 2^{1010505105600} is an apocalyptic number.

1010505105600 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 1010505105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802600300304).

1010505105600 is an abundant number, since it is smaller than the sum of its proper divisors (2594695495008).

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

1010505105600 is a wasteful number, since it uses less digits than its factorization.

1010505105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334772 (or 334757 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 1010505105600 in words is "one trillion, ten billion, five hundred five million, one hundred five thousand, six hundred".