106942507728 has 160 divisors (see below), whose sum is σ = 318734456832. Its totient is φ = 30265920000.

The previous prime is 106942507687. The next prime is 106942507753. The reversal of 106942507728 is 827705249601.

It is a happy number.

It is a super-2 number, since 2×106942507728² (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 31 ways as a sum of consecutive naturals, for example, 18921703 + ... + 18927353.

Almost surely, 2^106942507728 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 106942507728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159367228416).

106942507728 is an abundant number, since it is smaller than the sum of its proper divisors (211791949104).

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

106942507728 is a wasteful number, since it uses less digits than its factorization.

106942507728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193 (or 6187 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 106942507728 in words is "one hundred six billion, nine hundred forty-two million, five hundred seven thousand, seven hundred twenty-eight".