105052376000 has 448 divisors, whose sum is σ = 307745343360. Its totient is φ = 35020800000.

The previous prime is 105052375979. The next prime is 105052376021. The reversal of 105052376000 is 673250501.

It is an interprime number because it is at equal distance from previous prime (105052375979) and next prime (105052376021).

It is a super-2 number, since 2×105052376000² (a number of 23 digits) contains 22 as substring.

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, 261975800 + ... + 261976200.

It is an arithmetic number, because the mean of its divisors is an integer number (686931570).

Almost surely, 2^105052376000 is an apocalyptic number.

105052376000 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 105052376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153872671680).

105052376000 is an abundant number, since it is smaller than the sum of its proper divisors (202692967360).

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

105052376000 is a wasteful number, since it uses less digits than its factorization.

105052376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The spelling of 105052376000 in words is "one hundred five billion, fifty-two million, three hundred seventy-six thousand".