106397649792 has 240 divisors, whose sum is σ = 368335388520. Its totient is φ = 30399183360.

The previous prime is 106397649791. The next prime is 106397649793. The reversal of 106397649792 is 297946793601.

106397649792 is a `hidden beast` number, since 10 + 6 + 397 + 64 + 97 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (106397649791) and next prime (106397649793).

It is a super-2 number, since 2×106397649792² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106397649791) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 403317 + ... + 612747.

Almost surely, 2^106397649792 is an apocalyptic number.

106397649792 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 106397649792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184167694260).

106397649792 is an abundant number, since it is smaller than the sum of its proper divisors (261937738728).

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

106397649792 is an equidigital number, since it uses as much as digits as its factorization.

106397649792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209471 (or 209443 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 106397649792 in words is "one hundred six billion, three hundred ninety-seven million, six hundred forty-nine thousand, seven hundred ninety-two".