126910100 has 36 divisors (see below), whose sum is σ = 291598524. Its totient is φ = 47777280.

The previous prime is 126910099. The next prime is 126910123. The reversal of 126910100 is 1019621.

It can be written as a sum of positive squares in 6 ways, for example, as 4276624 + 122633476 = 2068^2 + 11074^2 .

It is a super-2 number, since 2×126910100² = 32212346964020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35627 + ... + 39026.

It is an arithmetic number, because the mean of its divisors is an integer number (8099959).

Almost surely, 2^126910100 is an apocalyptic number.

126910100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126910100 is an abundant number, since it is smaller than the sum of its proper divisors (164688424).

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

126910100 is a wasteful number, since it uses less digits than its factorization.

126910100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74684 (or 74677 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 126910100 is about 11265.4382959564. The cubic root of 126910100 is about 502.5339366369.

Adding to 126910100 its reverse (1019621), we get a palindrome (127929721).

The spelling of 126910100 in words is "one hundred twenty-six million, nine hundred ten thousand, one hundred".