106120746144 has 144 divisors (see below), whose sum is σ = 365180332608. Its totient is φ = 28536662016.

The previous prime is 106120746139. The next prime is 106120746169. The reversal of 106120746144 is 441647021601.

It is a happy number.

106120746144 is a `hidden beast` number, since 10 + 6 + 1 + 20 + 7 + 4 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106120746144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106120746099 and 106120746108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1513942 + ... + 1582485.

It is an arithmetic number, because the mean of its divisors is an integer number (2535974532).

Almost surely, 2^106120746144 is an apocalyptic number.

106120746144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106120746144 is an abundant number, since it is smaller than the sum of its proper divisors (259059586464).

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

106120746144 is a wasteful number, since it uses less digits than its factorization.

106120746144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096467 (or 3096456 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 106120746144 its reverse (441647021601), we get a palindrome (547767767745).

The spelling of 106120746144 in words is "one hundred six billion, one hundred twenty million, seven hundred forty-six thousand, one hundred forty-four".