106211520 has 224 divisors, whose sum is σ = 395020800. Its totient is φ = 26790912.

The previous prime is 106211513. The next prime is 106211533. The reversal of 106211520 is 25112601.

106211520 is a `hidden beast` number, since 10 + 621 + 15 + 20 = 666.

It is a super-2 number, since 2×106211520² = 22561773961420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106211493 and 106211502.

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, 163837 + ... + 164483.

Almost surely, 2^106211520 is an apocalyptic number.

106211520 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 106211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197510400).

106211520 is an abundant number, since it is smaller than the sum of its proper divisors (288809280).

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

106211520 is a wasteful number, since it uses less digits than its factorization.

106211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 106211520 is about 10305.8973408433. The cubic root of 106211520 is about 473.5769338352.

The spelling of 106211520 in words is "one hundred six million, two hundred eleven thousand, five hundred twenty".