1001105060600 has 48 divisors (see below), whose sum is σ = 2384339267520. Its totient is φ = 390675142400.

The previous prime is 1001105060581. The next prime is 1001105060639. The reversal of 1001105060600 is 60605011001.

It is a happy number.

1001105060600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001105060600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61034792 + ... + 61051191.

It is an arithmetic number, because the mean of its divisors is an integer number (49673734740).

Almost surely, 2^{1001105060600} is an apocalyptic number.

1001105060600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001105060600 is an abundant number, since it is smaller than the sum of its proper divisors (1383234206920).

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

1001105060600 is a wasteful number, since it uses less digits than its factorization.

1001105060600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122086040 (or 122086031 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 1001105060600 in words is "one trillion, one billion, one hundred five million, sixty thousand, six hundred".