106622000436 has 192 divisors, whose sum is σ = 296636497920. Its totient is φ = 29175552000.

The previous prime is 106622000423. The next prime is 106622000461. The reversal of 106622000436 is 634000226601.

106622000436 is a nontrivial binomial coefficient, being equal to C(461784, 2).

It is a super-2 number, since 2×106622000436² (a number of 23 digits) 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 63 ways as a sum of consecutive naturals, for example, 66265200 + ... + 66266808.

It is an arithmetic number, because the mean of its divisors is an integer number (1544981760).

Almost surely, 2^106622000436 is an apocalyptic number.

106622000436 is the 461783-rd triangular number and also the 230892-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106622000436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148318248960).

106622000436 is an abundant number, since it is smaller than the sum of its proper divisors (190014497484).

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

106622000436 is a wasteful number, since it uses less digits than its factorization.

106622000436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 106622000436 in words is "one hundred six billion, six hundred twenty-two million, four hundred thirty-six", and thus it is an aban number.