1077049596100 has 81 divisors (see below), whose sum is σ = 2378834936877. Its totient is φ = 423277035360.

The previous prime is 1077049596097. The next prime is 1077049596109. The reversal of 1077049596100 is 16959407701.

The square root of 1077049596100 is 1037810.

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

It can be written as a sum of positive squares in only one way, i.e., 387737854596 + 689311741504 = 622686^2 + 830248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1077049596109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 612307021 + ... + 612308779.

Almost surely, 2^{1077049596100} is an apocalyptic number.

1077049596100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1077049596100 is the 1037810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077049596100

1077049596100 is an abundant number, since it is smaller than the sum of its proper divisors (1301785340777).

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

1077049596100 is an frugal number, since it uses more digits than its factorization.

1077049596100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 49.

Multiplying 1077049596100 by its sum of digits (49), we get a square (52775430208900 = 7264670²).

The spelling of 1077049596100 in words is "one trillion, seventy-seven billion, forty-nine million, five hundred ninety-six thousand, one hundred".