106156032 has 104 divisors (see below), whose sum is σ = 290157984. Its totient is φ = 34504704.

The previous prime is 106156031. The next prime is 106156049. The reversal of 106156032 is 230651601.

It is a super-2 number, since 2×106156032² = 22538206259970048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106155993 and 106156011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106156031) 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, 651183 + ... + 651345.

Almost surely, 2^106156032 is an apocalyptic number.

106156032 is a gapful number since it is divisible by the number (12) 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 106156032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145078992).

106156032 is an abundant number, since it is smaller than the sum of its proper divisors (184001952).

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

106156032 is an equidigital number, since it uses as much as digits as its factorization.

106156032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106156032 is about 10303.2049382704. The cubic root of 106156032 is about 473.4944493290.

The spelling of 106156032 in words is "one hundred six million, one hundred fifty-six thousand, thirty-two".