1077215652100 has 81 divisors (see below), whose sum is σ = 2719383489333. Its totient is φ = 369306171360.

The previous prime is 1077215652083. The next prime is 1077215652113. The reversal of 1077215652100 is 12565127701.

The square root of 1077215652100 is 1037890.

It is a perfect power (a square), and thus also a powerful number.

1077215652100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 387797634756 + 689418017344 = 622734^2 + 830312^2 .

It is a super-3 number, since 3×1077215652100³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1077215652100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72644887 + ... + 72659713.

Almost surely, 2^{1077215652100} is an apocalyptic number.

1077215652100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1077215652100 is the 1037890-th square number.

It is an amenable number.

1077215652100 is an abundant number, since it is smaller than the sum of its proper divisors (1642167837233).

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

1077215652100 is an frugal number, since it uses more digits than its factorization.

1077215652100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29682 (or 14841 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 37.

The spelling of 1077215652100 in words is "one trillion, seventy-seven billion, two hundred fifteen million, six hundred fifty-two thousand, one hundred".