106578739200 has 384 divisors, whose sum is σ = 373291554240. Its totient is φ = 26738688000.

The previous prime is 106578739199. The next prime is 106578739247. The reversal of 106578739200 is 2937875601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106578739200² (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 self number, because there is not a number n which added to its sum of digits gives 106578739200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41777925 + ... + 41780475.

Almost surely, 2^106578739200 is an apocalyptic number.

106578739200 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 106578739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186645777120).

106578739200 is an abundant number, since it is smaller than the sum of its proper divisors (266712815040).

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

106578739200 is an equidigital number, since it uses as much as digits as its factorization.

106578739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 106578739200 in words is "one hundred six billion, five hundred seventy-eight million, seven hundred thirty-nine thousand, two hundred".