105607723631040 has 224 divisors, whose sum is σ = 394475909405760. Its totient is φ = 26505467854848.

The previous prime is 105607723630933. The next prime is 105607723631071. The reversal of 105607723631040 is 40136327706501.

105607723631040 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 7 + 7 + 2 + 3 + 631 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×105607723631040² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359356537 + ... + 359650296.

It is an arithmetic number, because the mean of its divisors is an integer number (1761053166990).

Almost surely, 2^{105607723631040} is an apocalyptic number.

105607723631040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105607723631040 is an abundant number, since it is smaller than the sum of its proper divisors (288868185774720).

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

105607723631040 is a wasteful number, since it uses less digits than its factorization.

105607723631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719006876 (or 719006860 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 105607723631040 in words is "one hundred five trillion, six hundred seven billion, seven hundred twenty-three million, six hundred thirty-one thousand, forty".