106296837192 has 1008 divisors, whose sum is σ = 394021428480. Its totient is φ = 26747884800.

The previous prime is 106296837173. The next prime is 106296837197. The reversal of 106296837192 is 291738692601.

106296837192 is a `hidden beast` number, since 1 + 0 + 629 + 6 + 8 + 3 + 7 + 1 + 9 + 2 = 666.

It is a super-2 number, since 2×106296837192² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106296837197) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1497138517 + ... + 1497138587.

Almost surely, 2^106296837192 is an apocalyptic number.

106296837192 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 106296837192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197010714240).

106296837192 is an abundant number, since it is smaller than the sum of its proper divisors (287724591288).

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

106296837192 is a wasteful number, since it uses less digits than its factorization.

106296837192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 106296837192 in words is "one hundred six billion, two hundred ninety-six million, eight hundred thirty-seven thousand, one hundred ninety-two".