106079935760 has 40 divisors (see below), whose sum is σ = 257359152960. Its totient is φ = 40587105152.

The previous prime is 106079935699. The next prime is 106079935769. The reversal of 106079935760 is 67539970601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106079935760² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106079935769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28824230 + ... + 28827909.

It is an arithmetic number, because the mean of its divisors is an integer number (6433978824).

Almost surely, 2^106079935760 is an apocalyptic number.

106079935760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106079935760 is an abundant number, since it is smaller than the sum of its proper divisors (151279217200).

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

106079935760 is a wasteful number, since it uses less digits than its factorization.

106079935760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57652175 (or 57652169 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 53.

The spelling of 106079935760 in words is "one hundred six billion, seventy-nine million, nine hundred thirty-five thousand, seven hundred sixty".