126803100 has 72 divisors (see below), whose sum is σ = 369226368. Its totient is φ = 33598400.

The previous prime is 126803081. The next prime is 126803101. The reversal of 126803100 is 1308621.

It is a super-2 number, since 2×126803100² = 32158052339220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126803101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48835 + ... + 51365.

It is an arithmetic number, because the mean of its divisors is an integer number (5128144).

Almost surely, 2^126803100 is an apocalyptic number.

126803100 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 126803100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184613184).

126803100 is an abundant number, since it is smaller than the sum of its proper divisors (242423268).

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

126803100 is a wasteful number, since it uses less digits than its factorization.

126803100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 126803100 is about 11260.6882560526. The cubic root of 126803100 is about 502.3926653746.

The spelling of 126803100 in words is "one hundred twenty-six million, eight hundred three thousand, one hundred".