105007381380 has 72 divisors (see below), whose sum is σ = 347478977664. Its totient is φ = 25456334400.

The previous prime is 105007381319. The next prime is 105007381387. The reversal of 105007381380 is 83183700501.

105007381380 is a `hidden beast` number, since 1 + 0 + 500 + 73 + 8 + 1 + 3 + 80 = 666.

It is a super-2 number, since 2×105007381380² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (105007381387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26515036 + ... + 26518995.

It is an arithmetic number, because the mean of its divisors is an integer number (4826096912).

Almost surely, 2^105007381380 is an apocalyptic number.

105007381380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105007381380 is an abundant number, since it is smaller than the sum of its proper divisors (242471596284).

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

105007381380 is a wasteful number, since it uses less digits than its factorization.

105007381380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53034057 (or 53034052 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 105007381380 in words is "one hundred five billion, seven million, three hundred eighty-one thousand, three hundred eighty".