1807100100 has 243 divisors, whose sum is σ = 6190269813. Its totient is φ = 440743680.

The previous prime is 1807100063. The next prime is 1807100117. The reversal of 1807100100 is 10017081.

The square root of 1807100100 is 42510.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1457559684 + 349540416 = 38178^2 + 18696^2 .

It is a super-2 number, since 2×1807100100² = 6531221542840020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16578846 + ... + 16578954.

Almost surely, 2^1807100100 is an apocalyptic number.

1807100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1807100100 is the 42510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1807100100

1807100100 is an abundant number, since it is smaller than the sum of its proper divisors (4383169713).

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

1807100100 is a wasteful number, since it uses less digits than its factorization.

1807100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The cubic root of 1807100100 is about 1218.0377171298.

Adding to 1807100100 its reverse (10017081), we get a palindrome (1817117181).

The spelling of 1807100100 in words is "one billion, eight hundred seven million, one hundred thousand, one hundred".