106920415754880 has 1536 divisors, whose sum is σ = 431416199208960. Its totient is φ = 22323885244416.

The previous prime is 106920415754869. The next prime is 106920415754897. The reversal of 106920415754880 is 88457514029601.

It is a super-2 number, since 2×106920415754880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89623147564 + ... + 89623148756.

It is an arithmetic number, because the mean of its divisors is an integer number (280869921360).

Almost surely, 2^{106920415754880} is an apocalyptic number.

106920415754880 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 106920415754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215708099604480).

106920415754880 is an abundant number, since it is smaller than the sum of its proper divisors (324495783454080).

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

106920415754880 is a wasteful number, since it uses less digits than its factorization.

106920415754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 106920415754880 in words is "one hundred six trillion, nine hundred twenty billion, four hundred fifteen million, seven hundred fifty-four thousand, eight hundred eighty".