106157567978 has 64 divisors (see below), whose sum is σ = 200648448000. Its totient is φ = 40919567040.

The previous prime is 106157567977. The next prime is 106157568001. The reversal of 106157567978 is 879765751601.

106157567978 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 2×106157567978² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106157567978.

It is not an unprimeable number, because it can be changed into a prime (106157567977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12199073 + ... + 12207771.

It is an arithmetic number, because the mean of its divisors is an integer number (3135132000).

Almost surely, 2^106157567978 is an apocalyptic number.

106157567978 is a deficient number, since it is larger than the sum of its proper divisors (94490880022).

106157567978 is a wasteful number, since it uses less digits than its factorization.

106157567978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9555.

The product of its (nonzero) digits is 22226400, while the sum is 62.

The spelling of 106157567978 in words is "one hundred six billion, one hundred fifty-seven million, five hundred sixty-seven thousand, nine hundred seventy-eight".