105196492800 has 864 divisors, whose sum is σ = 449781368400. Its totient is φ = 24029429760.

The previous prime is 105196492759. The next prime is 105196492829. The reversal of 105196492800 is 8294691501.

105196492800 is a `hidden beast` number, since 10 + 519 + 6 + 49 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×105196492800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67736824 + ... + 67738376.

Almost surely, 2^105196492800 is an apocalyptic number.

105196492800 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 105196492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224890684200).

105196492800 is an abundant number, since it is smaller than the sum of its proper divisors (344584875600).

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

105196492800 is a wasteful number, since it uses less digits than its factorization.

105196492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 105196492800 in words is "one hundred five billion, one hundred ninety-six million, four hundred ninety-two thousand, eight hundred".