1051982100 has 576 divisors, whose sum is σ = 4042241280. Its totient is φ = 232243200.

The previous prime is 1051982093. The next prime is 1051982131. The reversal of 1051982100 is 12891501.

It is a super-2 number, since 2×1051982100² = 2213332677440820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24464679 + ... + 24464721.

It is an arithmetic number, because the mean of its divisors is an integer number (7017780).

Almost surely, 2^1051982100 is an apocalyptic number.

1051982100 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 1051982100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021120640).

1051982100 is an abundant number, since it is smaller than the sum of its proper divisors (2990259180).

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

1051982100 is a wasteful number, since it uses less digits than its factorization.

1051982100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1051982100 is about 32434.2735389588. The cubic root of 1051982100 is about 1017.0355101114.

The spelling of 1051982100 in words is "one billion, fifty-one million, nine hundred eighty-two thousand, one hundred".