106747378000 has 80 divisors (see below), whose sum is σ = 258808966416. Its totient is φ = 42584179200.

The previous prime is 106747377983. The next prime is 106747378019. The reversal of 106747378000 is 873747601.

It can be written as a sum of positive squares in 8 ways, for example, as 60740559936 + 46006818064 = 246456^2 + 214492^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106747378000² (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, 674454 + ... + 817546.

Almost surely, 2^106747378000 is an apocalyptic number.

106747378000 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 106747378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129404483208).

106747378000 is an abundant number, since it is smaller than the sum of its proper divisors (152061588416).

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

106747378000 is a wasteful number, since it uses less digits than its factorization.

106747378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143489 (or 143473 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 43.

The spelling of 106747378000 in words is "one hundred six billion, seven hundred forty-seven million, three hundred seventy-eight thousand".