105778003000 has 64 divisors (see below), whose sum is σ = 248093183520. Its totient is φ = 42213312000.

The previous prime is 105778002997. The next prime is 105778003049. The reversal of 105778003000 is 300877501.

105778003000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105778003000² (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 15 ways as a sum of consecutive naturals, for example, 310855 + ... + 555145.

Almost surely, 2^105778003000 is an apocalyptic number.

105778003000 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 105778003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124046591760).

105778003000 is an abundant number, since it is smaller than the sum of its proper divisors (142315180520).

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

105778003000 is a wasteful number, since it uses less digits than its factorization.

105778003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244745 (or 244731 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The spelling of 105778003000 in words is "one hundred five billion, seven hundred seventy-eight million, three thousand".