105004635450 has 192 divisors, whose sum is σ = 306711619200. Its totient is φ = 23438131200.

The previous prime is 105004635443. The next prime is 105004635467. The reversal of 105004635450 is 54536400501.

It is a super-3 number, since 3×105004635450³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8767066 + ... + 8779034.

It is an arithmetic number, because the mean of its divisors is an integer number (1597456350).

Almost surely, 2^105004635450 is an apocalyptic number.

105004635450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105004635450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153355809600).

105004635450 is an abundant number, since it is smaller than the sum of its proper divisors (201706983750).

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

105004635450 is a wasteful number, since it uses less digits than its factorization.

105004635450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12417 (or 12412 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 105004635450 in words is "one hundred five billion, four million, six hundred thirty-five thousand, four hundred fifty".