106946637120 has 448 divisors, whose sum is σ = 391392460800. Its totient is φ = 27461928960.

The previous prime is 106946637097. The next prime is 106946637131. The reversal of 106946637120 is 21736649601.

106946637120 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 4 + 6 + 637 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×106946637120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 60798801 + ... + 60800559.

Almost surely, 2^106946637120 is an apocalyptic number.

106946637120 is a gapful number since it is divisible by the number (10) 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 106946637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195696230400).

106946637120 is an abundant number, since it is smaller than the sum of its proper divisors (284445823680).

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

106946637120 is a wasteful number, since it uses less digits than its factorization.

106946637120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 106946637120 in words is "one hundred six billion, nine hundred forty-six million, six hundred thirty-seven thousand, one hundred twenty".