106421624 has 8 divisors (see below), whose sum is σ = 199540560. Its totient is φ = 53210808.

The previous prime is 106421599. The next prime is 106421633. The reversal of 106421624 is 426124601.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×106421624² = 22651124109594752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106421593 and 106421602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6651344 + ... + 6651359.

It is an arithmetic number, because the mean of its divisors is an integer number (24942570).

Almost surely, 2^106421624 is an apocalyptic number.

It is an amenable number.

106421624 is a deficient number, since it is larger than the sum of its proper divisors (93118936).

106421624 is a wasteful number, since it uses less digits than its factorization.

106421624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13302709 (or 13302705 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 106421624 is about 10316.0856917728. The cubic root of 106421624 is about 473.8889993898. Note that the first 3 decimals are identical.

It can be divided in two parts, 1064 and 21624, that multiplied together give a triangular number (23007936 = T₆₇₈₃).

The spelling of 106421624 in words is "one hundred six million, four hundred twenty-one thousand, six hundred twenty-four".