861351048100 has 27 divisors (see below), whose sum is σ = 1869151914147. Its totient is φ = 344536706880.

The previous prime is 861351048083. The next prime is 861351048119. The reversal of 861351048100 is 1840153168.

The square root of 861351048100 is 928090.

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 72224412516 + 789126635584 = 268746^2 + 888328^2 .

It is a super-2 number, since 2×861351048100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 861351048100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9234496 + ... + 9327304.

Almost surely, 2^861351048100 is an apocalyptic number.

861351048100 is the 928090-th square number.

It is an amenable number.

861351048100 is an abundant number, since it is smaller than the sum of its proper divisors (1007800866047).

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

861351048100 is an frugal number, since it uses more digits than its factorization.

861351048100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185632 (or 92816 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 861351048100 in words is "eight hundred sixty-one billion, three hundred fifty-one million, forty-eight thousand, one hundred".