105534970464 has 192 divisors, whose sum is σ = 345570140160. Its totient is φ = 27397163520.

The previous prime is 105534970459. The next prime is 105534970469. The reversal of 105534970464 is 464079435501.

It is an interprime number because it is at equal distance from previous prime (105534970459) and next prime (105534970469).

It is a super-2 number, since 2×105534970464² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105534970469) 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, 26927097 + ... + 26931015.

It is an arithmetic number, because the mean of its divisors is an integer number (1799844480).

Almost surely, 2^105534970464 is an apocalyptic number.

105534970464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105534970464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172785070080).

105534970464 is an abundant number, since it is smaller than the sum of its proper divisors (240035169696).

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

105534970464 is a wasteful number, since it uses less digits than its factorization.

105534970464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7593 (or 7585 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 105534970464 in words is "one hundred five billion, five hundred thirty-four million, nine hundred seventy thousand, four hundred sixty-four".