126662100 has 72 divisors (see below), whose sum is σ = 376413408. Its totient is φ = 32860800.

The previous prime is 126662099. The next prime is 126662101. The reversal of 126662100 is 1266621.

It is an interprime number because it is at equal distance from previous prime (126662099) and next prime (126662101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126662101) 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, 5395 + ... + 16805.

It is an arithmetic number, because the mean of its divisors is an integer number (5227964).

Almost surely, 2^126662100 is an apocalyptic number.

126662100 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 126662100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188206704).

126662100 is an abundant number, since it is smaller than the sum of its proper divisors (249751308).

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

126662100 is a wasteful number, since it uses less digits than its factorization.

126662100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11465 (or 11458 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 126662100 is about 11254.4257961035. The cubic root of 126662100 is about 502.2063827623.

Multiplying 126662100 by its reverse (1266621), we get a square (160432875764100 = 12666210²).

126662100 divided by its reverse (1266621) gives a square (100 = 10²).

The spelling of 126662100 in words is "one hundred twenty-six million, six hundred sixty-two thousand, one hundred".