106365100 has 54 divisors (see below), whose sum is σ = 235218452. Its totient is φ = 41748000.

The previous prime is 106365067. The next prime is 106365131. The reversal of 106365100 is 1563601.

It is a super-2 number, since 2×106365100² = 22627068996020000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 503995 + ... + 504205.

Almost surely, 2^106365100 is an apocalyptic number.

106365100 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 106365100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117609226).

106365100 is an abundant number, since it is smaller than the sum of its proper divisors (128853352).

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

106365100 is a wasteful number, since it uses less digits than its factorization.

106365100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 106365100 is about 10313.3457228971. The cubic root of 106365100 is about 473.8050852236.

The spelling of 106365100 in words is "one hundred six million, three hundred sixty-five thousand, one hundred".