105104049120 has 384 divisors, whose sum is σ = 426346260480. Its totient is φ = 23684935680.

The previous prime is 105104049103. The next prime is 105104049137. The reversal of 105104049120 is 21940401501.

105104049120 is a `hidden beast` number, since 1 + 0 + 510 + 40 + 4 + 91 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (105104049103) and next prime (105104049137).

It is a super-2 number, since 2×105104049120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2122564 + ... + 2171516.

It is an arithmetic number, because the mean of its divisors is an integer number (1110276720).

Almost surely, 2^105104049120 is an apocalyptic number.

105104049120 is a gapful number since it is divisible by the number (10) 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 105104049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213173130240).

105104049120 is an abundant number, since it is smaller than the sum of its proper divisors (321242211360).

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

105104049120 is a wasteful number, since it uses less digits than its factorization.

105104049120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49055 (or 49041 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 105104049120 in words is "one hundred five billion, one hundred four million, forty-nine thousand, one hundred twenty".