105112031464 has 64 divisors (see below), whose sum is σ = 220112640000. Its totient is φ = 46643593920.

The previous prime is 105112031459. The next prime is 105112031501. The reversal of 105112031464 is 464130211501.

It is a super-2 number, since 2×105112031464² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9072027 + ... + 9083605.

It is an arithmetic number, because the mean of its divisors is an integer number (3439260000).

Almost surely, 2^105112031464 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 105112031464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110056320000).

105112031464 is an abundant number, since it is smaller than the sum of its proper divisors (115000608536).

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

105112031464 is a wasteful number, since it uses less digits than its factorization.

105112031464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14038 (or 14034 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 105112031464 its reverse (464130211501), we get a palindrome (569242242965).

The spelling of 105112031464 in words is "one hundred five billion, one hundred twelve million, thirty-one thousand, four hundred sixty-four".