106402416 has 80 divisors (see below), whose sum is σ = 296171520. Its totient is φ = 32820480.

The previous prime is 106402409. The next prime is 106402423. The reversal of 106402416 is 614204601.

It is an interprime number because it is at equal distance from previous prime (106402409) and next prime (106402423).

It is a super-2 number, since 2×106402416² = 22642948261274112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32670 + ... + 35778.

It is an arithmetic number, because the mean of its divisors is an integer number (3702144).

Almost surely, 2^106402416 is an apocalyptic number.

106402416 is a gapful number since it is divisible by the number (16) 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 106402416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148085760).

106402416 is an abundant number, since it is smaller than the sum of its proper divisors (189769104).

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

106402416 is a wasteful number, since it uses less digits than its factorization.

106402416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106402416 is about 10315.1546764942. The cubic root of 106402416 is about 473.8604869903.

The spelling of 106402416 in words is "one hundred six million, four hundred two thousand, four hundred sixteen".