106145012736 has 792 divisors, whose sum is σ = 379684044896. Its totient is φ = 29023764480.

The previous prime is 106145012713. The next prime is 106145012749. The reversal of 106145012736 is 637210541601.

106145012736 is a `hidden beast` number, since 1 + 0 + 614 + 5 + 0 + 1 + 2 + 7 + 36 = 666.

It is a super-2 number, since 2×106145012736² (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 self number, because there is not a number n which added to its sum of digits gives 106145012736.

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, 1740082146 + ... + 1740082206.

Almost surely, 2^106145012736 is an apocalyptic number.

106145012736 is a gapful number since it is divisible by the number (16) 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 106145012736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189842022448).

106145012736 is an abundant number, since it is smaller than the sum of its proper divisors (273539032160).

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

106145012736 is an frugal number, since it uses more digits than its factorization.

106145012736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 106145012736 in words is "one hundred six billion, one hundred forty-five million, twelve thousand, seven hundred thirty-six".