106920437944320 has 4992 divisors, whose sum is σ = 523175887503360. Its totient is φ = 20346733854720.

The previous prime is 106920437944291. The next prime is 106920437944417. The reversal of 106920437944320 is 23449734029601.

106920437944320 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 204 + 3 + 79 + 44 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-2 number, since 2×106920437944320² (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 841893212097 + ... + 841893212223.

It is an arithmetic number, because the mean of its divisors is an integer number (104802862080).

Almost surely, 2^{106920437944320} is an apocalyptic number.

106920437944320 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 106920437944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261587943751680).

106920437944320 is an abundant number, since it is smaller than the sum of its proper divisors (416255449559040).

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

106920437944320 is an equidigital number, since it uses as much as digits as its factorization.

106920437944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

It can be divided in two parts, 106920 and 437944320, that multiplied together give a square (46825006694400 = 6842880²).

The spelling of 106920437944320 in words is "one hundred six trillion, nine hundred twenty billion, four hundred thirty-seven million, nine hundred forty-four thousand, three hundred twenty".