106153254144 has 216 divisors, whose sum is σ = 368200763840. Its totient is φ = 28733128704.

The previous prime is 106153254143. The next prime is 106153254149. The reversal of 106153254144 is 441452351601.

106153254144 is a `hidden beast` number, since 1 + 0 + 61 + 53 + 2 + 541 + 4 + 4 = 666.

It is a super-2 number, since 2×106153254144² (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 = 106153254099 and 106153254108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106153254143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133224 + ... + 479640.

Almost surely, 2^106153254144 is an apocalyptic number.

106153254144 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 106153254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184100381920).

106153254144 is an abundant number, since it is smaller than the sum of its proper divisors (262047509696).

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

106153254144 is a wasteful number, since it uses less digits than its factorization.

106153254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346465 (or 346448 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 106153254144 in words is "one hundred six billion, one hundred fifty-three million, two hundred fifty-four thousand, one hundred forty-four".