1081752100 has 243 divisors, whose sum is σ = 2920704339. Its totient is φ = 347318400.

The previous prime is 1081752073. The next prime is 1081752107. The reversal of 1081752100 is 12571801.

The square root of 1081752100 is 32890.

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

It can be written as a sum of positive squares in 4 ways, for example, as 278823204 + 802928896 = 16698^2 + 28336^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1081752107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 47032689 + ... + 47032711.

Almost surely, 2^1081752100 is an apocalyptic number.

1081752100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1081752100 is the 32890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1081752100

1081752100 is an abundant number, since it is smaller than the sum of its proper divisors (1838952239).

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

1081752100 is a wasteful number, since it uses less digits than its factorization.

1081752100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 25.

The cubic root of 1081752100 is about 1026.5400921054.

Multiplying 1081752100 by its sum of digits (25), we get a square (27043802500 = 164450²).

1081752100 divided by its sum of digits (25) gives a square (43270084 = 6578²).

The spelling of 1081752100 in words is "one billion, eighty-one million, seven hundred fifty-two thousand, one hundred".