106144004640 has 96 divisors (see below), whose sum is σ = 351951203520. Its totient is φ = 26815325184.

The previous prime is 106144004627. The next prime is 106144004689. The reversal of 106144004640 is 46400441601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106144004640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106144004598 and 106144004607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5810179 + ... + 5828418.

It is an arithmetic number, because the mean of its divisors is an integer number (3666158370).

Almost surely, 2^106144004640 is an apocalyptic number.

106144004640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106144004640 is an abundant number, since it is smaller than the sum of its proper divisors (245807198880).

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

106144004640 is a wasteful number, since it uses less digits than its factorization.

106144004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11638634 (or 11638626 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 106144004640 in words is "one hundred six billion, one hundred forty-four million, four thousand, six hundred forty".