106153212704 has 144 divisors (see below), whose sum is σ = 273767268096. Its totient is φ = 40024051200.

The previous prime is 106153212701. The next prime is 106153212707. The reversal of 106153212704 is 407212351601.

It is an interprime number because it is at equal distance from previous prime (106153212701) and next prime (106153212707).

It is a super-2 number, since 2×106153212704² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (106153212701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435422 + ... + 633954.

It is an arithmetic number, because the mean of its divisors is an integer number (1901161584).

Almost surely, 2^106153212704 is an apocalyptic number.

106153212704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106153212704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136883634048).

106153212704 is an abundant number, since it is smaller than the sum of its proper divisors (167614055392).

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

106153212704 is a wasteful number, since it uses less digits than its factorization.

106153212704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198599 (or 198584 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 106153212704 in words is "one hundred six billion, one hundred fifty-three million, two hundred twelve thousand, seven hundred four".