106035381144 has 288 divisors, whose sum is σ = 370511974560. Its totient is φ = 26796718080.

The previous prime is 106035381139. The next prime is 106035381167. The reversal of 106035381144 is 441183530601.

106035381144 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 3 + 538 + 114 + 4 = 666.

It is a super-2 number, since 2×106035381144² (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 = 106035381099 and 106035381108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2232912 + ... + 2279904.

Almost surely, 2^106035381144 is an apocalyptic number.

106035381144 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 106035381144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185255987280).

106035381144 is an abundant number, since it is smaller than the sum of its proper divisors (264476593416).

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

106035381144 is a wasteful number, since it uses less digits than its factorization.

106035381144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47071 (or 47053 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 106035381144 in words is "one hundred six billion, thirty-five million, three hundred eighty-one thousand, one hundred forty-four".