106022000760 has 512 divisors, whose sum is σ = 375293399040. Its totient is φ = 23718887424.

The previous prime is 106022000759. The next prime is 106022000767. The reversal of 106022000760 is 67000220601.

It is a happy number.

It is a super-2 number, since 2×106022000760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106022000760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106022000767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163866757 + ... + 163867403.

It is an arithmetic number, because the mean of its divisors is an integer number (732994920).

Almost surely, 2^106022000760 is an apocalyptic number.

106022000760 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 106022000760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187646699520).

106022000760 is an abundant number, since it is smaller than the sum of its proper divisors (269271398280).

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

106022000760 is a wasteful number, since it uses less digits than its factorization.

106022000760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 106022000760 in words is "one hundred six billion, twenty-two million, seven hundred sixty", and thus it is an aban number.