861053100 has 72 divisors (see below), whose sum is σ = 2504006400. Its totient is φ = 228444480.

The previous prime is 861053071. The next prime is 861053101. The reversal of 861053100 is 1350168.

It is a super-2 number, since 2×861053100² = 1482824882039220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (861053101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52489 + ... + 66911.

Almost surely, 2^861053100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252003200).

861053100 is an abundant number, since it is smaller than the sum of its proper divisors (1642953300).

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

861053100 is a wasteful number, since it uses less digits than its factorization.

861053100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14639 (or 14632 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 861053100 is about 29343.7063098716. The cubic root of 861053100 is about 951.3565476905.

The spelling of 861053100 in words is "eight hundred sixty-one million, fifty-three thousand, one hundred".