74102106144 has 48 divisors (see below), whose sum is σ = 212201488800. Its totient is φ = 22455183360.

The previous prime is 74102106137. The next prime is 74102106149. The reversal of 74102106144 is 44160120147.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×74102106144² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (74102106149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35085169 + ... + 35087280.

It is an arithmetic number, because the mean of its divisors is an integer number (4420864350).

Almost surely, 2^74102106144 is an apocalyptic number.

It is an amenable number.

74102106144 is an abundant number, since it is smaller than the sum of its proper divisors (138099382656).

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

74102106144 is a wasteful number, since it uses less digits than its factorization.

74102106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70172473 (or 70172465 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 74102106144 in words is "seventy-four billion, one hundred two million, one hundred six thousand, one hundred forty-four".