106215500 has 48 divisors (see below), whose sum is σ = 234998400. Its totient is φ = 41932800.

The previous prime is 106215481. The next prime is 106215521. The reversal of 106215500 is 5512601.

It is a super-2 number, since 2×106215500² = 22563464880500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38156 + ... + 40844.

It is an arithmetic number, because the mean of its divisors is an integer number (4895800).

Almost surely, 2^106215500 is an apocalyptic number.

106215500 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 106215500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117499200).

106215500 is an abundant number, since it is smaller than the sum of its proper divisors (128782900).

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

106215500 is a wasteful number, since it uses less digits than its factorization.

106215500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 106215500 is about 10306.0904323609. The cubic root of 106215500 is about 473.5828491153.

The spelling of 106215500 in words is "one hundred six million, two hundred fifteen thousand, five hundred".