106100500 has 96 divisors (see below), whose sum is σ = 256628736. Its totient is φ = 38000000.

The previous prime is 106100471. The next prime is 106100539. The reversal of 106100500 is 5001601.

It is a super-2 number, since 2×106100500² = 22514632200500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555405 + ... + 555595.

It is an arithmetic number, because the mean of its divisors is an integer number (2673216).

Almost surely, 2^106100500 is an apocalyptic number.

106100500 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 106100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128314368).

106100500 is an abundant number, since it is smaller than the sum of its proper divisors (150528236).

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

106100500 is a wasteful number, since it uses less digits than its factorization.

106100500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 106100500 is about 10300.5096961267. The cubic root of 106100500 is about 473.4118706331.

The spelling of 106100500 in words is "one hundred six million, one hundred thousand, five hundred".