106053615444144 has 40 divisors (see below), whose sum is σ = 274291527098160. Its totient is φ = 35309955186688.

The previous prime is 106053615444131. The next prime is 106053615444211. The reversal of 106053615444144 is 441444516350601.

It is a super-2 number, since 2×106053615444144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 106053615444093 and 106053615444102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1289019729 + ... + 1289102000.

It is an arithmetic number, because the mean of its divisors is an integer number (6857288177454).

Almost surely, 2^{106053615444144} is an apocalyptic number.

It is an amenable number.

106053615444144 is an abundant number, since it is smaller than the sum of its proper divisors (168237911654016).

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

106053615444144 is a wasteful number, since it uses less digits than its factorization.

106053615444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578122597 (or 2578122591 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 106053615444144 in words is "one hundred six trillion, fifty-three billion, six hundred fifteen million, four hundred forty-four thousand, one hundred forty-four".