106102240 has 48 divisors (see below), whose sum is σ = 253517040. Its totient is φ = 41958400.

The previous prime is 106102231. The next prime is 106102247. The reversal of 106102240 is 42201601.

106102240 = T₄₅₆ + T₄₅₇ + ... + T₉₀₀.

It is a super-2 number, since 2×106102240² = 22515370666035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106102247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10515 + ... + 17965.

It is an arithmetic number, because the mean of its divisors is an integer number (5281605).

Almost surely, 2^106102240 is an apocalyptic number.

106102240 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 106102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126758520).

106102240 is an abundant number, since it is smaller than the sum of its proper divisors (147414800).

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

106102240 is an equidigital number, since it uses as much as digits as its factorization.

106102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555 (or 7547 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 106102240 is about 10300.5941576202. The cubic root of 106102240 is about 473.4144585322.

Adding to 106102240 its reverse (42201601), we get a palindrome (148303841).

The spelling of 106102240 in words is "one hundred six million, one hundred two thousand, two hundred forty".