106433760 has 48 divisors (see below), whose sum is σ = 335267856. Its totient is φ = 28382208.

The previous prime is 106433749. The next prime is 106433773. The reversal of 106433760 is 67334601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106433760² = 22656290535475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110389 + ... + 111348.

It is an arithmetic number, because the mean of its divisors is an integer number (6984747).

Almost surely, 2^106433760 is an apocalyptic number.

106433760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106433760 is an abundant number, since it is smaller than the sum of its proper divisors (228834096).

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

106433760 is a wasteful number, since it uses less digits than its factorization.

106433760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221755 (or 221747 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 106433760 is about 10316.6738826038. The cubic root of 106433760 is about 473.9070123277.

The spelling of 106433760 in words is "one hundred six million, four hundred thirty-three thousand, seven hundred sixty".