106946153467920 has 1120 divisors, whose sum is σ = 415048929168384. Its totient is φ = 25438120243200.

The previous prime is 106946153467919. The next prime is 106946153468009. The reversal of 106946153467920 is 29764351649601.

It is a happy number.

106946153467920 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 4 + 6 + 1 + 534 + 6 + 7 + 92 + 0 = 666.

It is a super-2 number, since 2×106946153467920² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 17791737715 + ... + 17791743725.

Almost surely, 2^{106946153467920} is an apocalyptic number.

106946153467920 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 106946153467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207524464584192).

106946153467920 is an abundant number, since it is smaller than the sum of its proper divisors (308102775700464).

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

106946153467920 is a wasteful number, since it uses less digits than its factorization.

106946153467920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6843 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 106946153467920 in words is "one hundred six trillion, nine hundred forty-six billion, one hundred fifty-three million, four hundred sixty-seven thousand, nine hundred twenty".