126101900 has 36 divisors (see below), whose sum is σ = 276956232. Its totient is φ = 49829760.

The previous prime is 126101891. The next prime is 126101909. The reversal of 126101900 is 9101621.

It is an interprime number because it is at equal distance from previous prime (126101891) and next prime (126101909).

It is a super-2 number, since 2×126101900² = 31803378367220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126101909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 704 + ... + 15896.

Almost surely, 2^126101900 is an apocalyptic number.

126101900 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 126101900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138478116).

126101900 is an abundant number, since it is smaller than the sum of its proper divisors (150854332).

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

126101900 is a wasteful number, since it uses less digits than its factorization.

126101900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15290 (or 15283 counting only the distinct ones).

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

The square root of 126101900 is about 11229.5102297473. The cubic root of 126101900 is about 501.4649039215.

The spelling of 126101900 in words is "one hundred twenty-six million, one hundred one thousand, nine hundred".