106901928 has 144 divisors (see below), whose sum is σ = 340696980. Its totient is φ = 30191616.

The previous prime is 106901909. The next prime is 106901941. The reversal of 106901928 is 829109601.

It can be written as a sum of positive squares in 2 ways, for example, as 100761444 + 6140484 = 10038^2 + 2478^2 .

It is a super-2 number, since 2×106901928² = 22856044420234368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106901892 and 106901901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 553800 + ... + 553992.

Almost surely, 2^106901928 is an apocalyptic number.

106901928 is a gapful number since it is divisible by the number (18) 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 106901928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170348490).

106901928 is an abundant number, since it is smaller than the sum of its proper divisors (233795052).

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

106901928 is a wasteful number, since it uses less digits than its factorization.

106901928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

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

The square root of 106901928 is about 10339.3388570063. The cubic root of 106901928 is about 474.6008510179.

The spelling of 106901928 in words is "one hundred six million, nine hundred one thousand, nine hundred twenty-eight".