10126900 has 144 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 3041280.

The previous prime is 10126891. The next prime is 10126939. The reversal of 10126900 is 962101.

It is a super-2 number, since 2×10126900² = 205108207220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273682 + ... + 273718.

It is an arithmetic number, because the mean of its divisors is an integer number (197904).

Almost surely, 2^10126900 is an apocalyptic number.

10126900 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 10126900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

10126900 is an abundant number, since it is smaller than the sum of its proper divisors (18371276).

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

10126900 is a wasteful number, since it uses less digits than its factorization.

10126900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 10126900 is about 3182.2790575309. The cubic root of 10126900 is about 216.3509669179.

It can be divided in two parts, 10126 and 900, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10126900 in words is "ten million, one hundred twenty-six thousand, nine hundred".