101041626 has 64 divisors (see below), whose sum is σ = 243936000. Its totient is φ = 27857088.

The previous prime is 101041579. The next prime is 101041637. The reversal of 101041626 is 626140101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58836 + ... + 60528.

It is an arithmetic number, because the mean of its divisors is an integer number (3811500).

Almost surely, 2^101041626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101041626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968000).

101041626 is an abundant number, since it is smaller than the sum of its proper divisors (142894374).

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

101041626 is a wasteful number, since it uses less digits than its factorization.

101041626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 101041626 is about 10051.9463786871. The cubic root of 101041626 is about 465.7649197746.

Adding to 101041626 its reverse (626140101), we get a palindrome (727181727).

The spelling of 101041626 in words is "one hundred one million, forty-one thousand, six hundred twenty-six".