106142969856 has 208 divisors, whose sum is σ = 352850980608. Its totient is φ = 27569356800.

The previous prime is 106142969791. The next prime is 106142969857. The reversal of 106142969856 is 658969241601.

106142969856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106142969856² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106142969796 and 106142969805.

It is not an unprimeable number, because it can be changed into a prime (106142969857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890086 + ... + 1002266.

Almost surely, 2^106142969856 is an apocalyptic number.

106142969856 is a gapful number since it is divisible by the number (16) 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 106142969856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176425490304).

106142969856 is an abundant number, since it is smaller than the sum of its proper divisors (246708010752).

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

106142969856 is a wasteful number, since it uses less digits than its factorization.

106142969856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112226 (or 112204 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 106142969856 in words is "one hundred six billion, one hundred forty-two million, nine hundred sixty-nine thousand, eight hundred fifty-six".