106142422620 has 192 divisors, whose sum is σ = 334260218880. Its totient is φ = 24970125312.

The previous prime is 106142422613. The next prime is 106142422637. The reversal of 106142422620 is 26224241601.

It is a super-2 number, since 2×106142422620² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 33492396 + ... + 33495564.

It is an arithmetic number, because the mean of its divisors is an integer number (1740938640).

Almost surely, 2^106142422620 is an apocalyptic number.

106142422620 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 106142422620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167130109440).

106142422620 is an abundant number, since it is smaller than the sum of its proper divisors (228117796260).

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

106142422620 is a wasteful number, since it uses less digits than its factorization.

106142422620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 106142422620 in words is "one hundred six billion, one hundred forty-two million, four hundred twenty-two thousand, six hundred twenty".