106294851072 has 400 divisors, whose sum is σ = 338242493952. Its totient is φ = 33156034560.

The previous prime is 106294850897. The next prime is 106294851073. The reversal of 106294851072 is 270158492601.

106294851072 is a `hidden beast` number, since 1 + 0 + 6 + 29 + 48 + 510 + 72 = 666.

It is a super-2 number, since 2×106294851072² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106294851073) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44830047 + ... + 44832417.

Almost surely, 2^106294851072 is an apocalyptic number.

106294851072 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 106294851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169121246976).

106294851072 is an abundant number, since it is smaller than the sum of its proper divisors (231947642880).

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

106294851072 is an equidigital number, since it uses as much as digits as its factorization.

106294851072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 106294851072 in words is "one hundred six billion, two hundred ninety-four million, eight hundred fifty-one thousand, seventy-two".