106152403392 has 448 divisors, whose sum is σ = 368046243840. Its totient is φ = 29372378112.

The previous prime is 106152403367. The next prime is 106152403403. The reversal of 106152403392 is 293304251601.

106152403392 is a `hidden beast` number, since 1 + 0 + 615 + 2 + 4 + 0 + 3 + 39 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×106152403392² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66055453 + ... + 66057059.

Almost surely, 2^106152403392 is an apocalyptic number.

106152403392 is a gapful number since it is divisible by the number (12) 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 106152403392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184023121920).

106152403392 is an abundant number, since it is smaller than the sum of its proper divisors (261893840448).

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

106152403392 is a wasteful number, since it uses less digits than its factorization.

106152403392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 106152403392 its reverse (293304251601), we get a palindrome (399456654993).

The spelling of 106152403392 in words is "one hundred six billion, one hundred fifty-two million, four hundred three thousand, three hundred ninety-two".