105526032783378 has 128 divisors (see below), whose sum is σ = 221401047098880. Its totient is φ = 33467437301760.

The previous prime is 105526032783349. The next prime is 105526032783407. The reversal of 105526032783378 is 873387230625501.

It is an interprime number because it is at equal distance from previous prime (105526032783349) and next prime (105526032783407).

It is a super-2 number, since 2×105526032783378² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38896435350 + ... + 38896438062.

It is an arithmetic number, because the mean of its divisors is an integer number (1729695680460).

Almost surely, 2^{105526032783378} is an apocalyptic number.

105526032783378 is an abundant number, since it is smaller than the sum of its proper divisors (115875014315502).

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

105526032783378 is a wasteful number, since it uses less digits than its factorization.

105526032783378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4884.

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 105526032783378 in words is "one hundred five trillion, five hundred twenty-six billion, thirty-two million, seven hundred eighty-three thousand, three hundred seventy-eight".