103967955000 has 1800 divisors, whose sum is σ = 473155166880. Its totient is φ = 21228480000.

The previous prime is 103967954957. The next prime is 103967955001. The reversal of 103967955000 is 559769301.

103967955000 is a `hidden beast` number, since 1 + 0 + 3 + 96 + 7 + 9 + 550 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103967955001) by changing a digit.

It is a polite number, since it can be written in 449 ways as a sum of consecutive naturals, for example, 3353804985 + ... + 3353805015.

Almost surely, 2^103967955000 is an apocalyptic number.

103967955000 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 103967955000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236577583440).

103967955000 is an abundant number, since it is smaller than the sum of its proper divisors (369187211880).

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

103967955000 is a wasteful number, since it uses less digits than its factorization.

103967955000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 103967955000 in words is "one hundred three billion, nine hundred sixty-seven million, nine hundred fifty-five thousand".