107004171780 has 144 divisors (see below), whose sum is σ = 354310354944. Its totient is φ = 25924008960.

The previous prime is 107004171733. The next prime is 107004171851. The reversal of 107004171780 is 87171400701.

It is a happy number.

107004171780 is a `hidden beast` number, since 1 + 0 + 70 + 0 + 417 + 178 + 0 = 666.

It is a super-2 number, since 2×107004171780² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3276492 + ... + 3308988.

It is an arithmetic number, because the mean of its divisors is an integer number (2460488576).

Almost surely, 2^107004171780 is an apocalyptic number.

107004171780 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 107004171780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177155177472).

107004171780 is an abundant number, since it is smaller than the sum of its proper divisors (247306183164).

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

107004171780 is a wasteful number, since it uses less digits than its factorization.

107004171780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34186 (or 34181 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

It can be divided in two parts, 107004 and 171780, that added together give a square (278784 = 528²).

The spelling of 107004171780 in words is "one hundred seven billion, four million, one hundred seventy-one thousand, seven hundred eighty".