105997880031428 has 96 divisors (see below), whose sum is σ = 236947045015296. Its totient is φ = 40284103680000.

The previous prime is 105997880031427. The next prime is 105997880031493. The reversal of 105997880031428 is 824130088799501.

105997880031428 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 2×105997880031428² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105997880031427) 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, 77884148 + ... + 79233428.

It is an arithmetic number, because the mean of its divisors is an integer number (2468198385576).

Almost surely, 2^{105997880031428} 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 105997880031428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118473522507648).

105997880031428 is an abundant number, since it is smaller than the sum of its proper divisors (130949164983868).

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

105997880031428 is a wasteful number, since it uses less digits than its factorization.

105997880031428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355565 (or 1355563 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 65.

The spelling of 105997880031428 in words is "one hundred five trillion, nine hundred ninety-seven billion, eight hundred eighty million, thirty-one thousand, four hundred twenty-eight".