101026445436 has 144 divisors (see below), whose sum is σ = 295714718208. Its totient is φ = 28484784000.

The previous prime is 101026445419. The next prime is 101026445449. The reversal of 101026445436 is 634544620101.

101026445436 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 644 + 5 + 4 + 3 + 6 = 666.

It is a super-3 number, since 3×101026445436³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101026445436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7909191 + ... + 7921953.

It is an arithmetic number, because the mean of its divisors is an integer number (2053574432).

Almost surely, 2^101026445436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101026445436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147857359104).

101026445436 is an abundant number, since it is smaller than the sum of its proper divisors (194688272772).

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

101026445436 is a wasteful number, since it uses less digits than its factorization.

101026445436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13192 (or 13187 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 101026445436 in words is "one hundred one billion, twenty-six million, four hundred forty-five thousand, four hundred thirty-six".