106212480 has 256 divisors, whose sum is σ = 380712960. Its totient is φ = 24965120.

The previous prime is 106212473. The next prime is 106212493. The reversal of 106212480 is 84212601.

It is a super-2 number, since 2×106212480² = 22562181815500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106212480.

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, 992587 + ... + 992693.

It is an arithmetic number, because the mean of its divisors is an integer number (1487160).

Almost surely, 2^106212480 is an apocalyptic number.

106212480 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 106212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190356480).

106212480 is an abundant number, since it is smaller than the sum of its proper divisors (274500480).

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

106212480 is a wasteful number, since it uses less digits than its factorization.

106212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 106212480 is about 10305.9439160127. The cubic root of 106212480 is about 473.5783606500.

The spelling of 106212480 in words is "one hundred six million, two hundred twelve thousand, four hundred eighty".