106750400778 has 48 divisors (see below), whose sum is σ = 265309814016. Its totient is φ = 30387558240.

The previous prime is 106750400777. The next prime is 106750400791. The reversal of 106750400778 is 877004057601.

106750400778 is a `hidden beast` number, since 10 + 67 + 504 + 0 + 0 + 7 + 78 = 666.

It is a super-2 number, since 2×106750400778² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106750400773) 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, 1529001 + ... + 1597292.

It is an arithmetic number, because the mean of its divisors is an integer number (5527287792).

Almost surely, 2^106750400778 is an apocalyptic number.

106750400778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106750400778 is an abundant number, since it is smaller than the sum of its proper divisors (158559413238).

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

106750400778 is a wasteful number, since it uses less digits than its factorization.

106750400778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126579 (or 3126576 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

It can be divided in two parts, 106750 and 400778, that added together give a triangular number (507528 = T₁₀₀₇).

The spelling of 106750400778 in words is "one hundred six billion, seven hundred fifty million, four hundred thousand, seven hundred seventy-eight".