101250126 has 48 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 31288464.

The previous prime is 101250109. The next prime is 101250131. The reversal of 101250126 is 621052101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101250099 and 101250108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12925 + ... + 19223.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^101250126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101250126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

101250126 is an abundant number, since it is smaller than the sum of its proper divisors (134621874).

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

101250126 is a wasteful number, since it uses less digits than its factorization.

101250126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101250126 is about 10062.3121597374. The cubic root of 101250126 is about 466.0850692319.

The spelling of 101250126 in words is "one hundred one million, two hundred fifty thousand, one hundred twenty-six".