106891920 has 320 divisors, whose sum is σ = 404974080. Its totient is φ = 25804800.

The previous prime is 106891909. The next prime is 106891931. The reversal of 106891920 is 29198601.

It is an interprime number because it is at equal distance from previous prime (106891909) and next prime (106891931).

It is a super-2 number, since 2×106891920² = 22851765122572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1505485 + ... + 1505555.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 2^106891920 is an apocalyptic number.

106891920 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 106891920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

106891920 is an abundant number, since it is smaller than the sum of its proper divisors (298082160).

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

106891920 is a wasteful number, since it uses less digits than its factorization.

106891920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 106891920 is about 10338.8548688914. The cubic root of 106891920 is about 474.5860400797.

The spelling of 106891920 in words is "one hundred six million, eight hundred ninety-one thousand, nine hundred twenty".