106401520 has 40 divisors (see below), whose sum is σ = 260407440. Its totient is φ = 40320000.

The previous prime is 106401469. The next prime is 106401527. The reversal of 106401520 is 25104601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106401520² = 22642566916620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106401527) 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, 33481 + ... + 36520.

It is an arithmetic number, because the mean of its divisors is an integer number (6510186).

Almost surely, 2^106401520 is an apocalyptic number.

106401520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106401520 is an abundant number, since it is smaller than the sum of its proper divisors (154005920).

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

106401520 is a wasteful number, since it uses less digits than its factorization.

106401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70033 (or 70027 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 106401520 is about 10315.1112451587. Note that the first 3 decimals coincide. The cubic root of 106401520 is about 473.8591568820.

The spelling of 106401520 in words is "one hundred six million, four hundred one thousand, five hundred twenty".