106263040 has 160 divisors (see below), whose sum is σ = 285981696. Its totient is φ = 37601280.

The previous prime is 106263007. The next prime is 106263043. The reversal of 106263040 is 40362601.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×106263040² = 22583667340083200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106263043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031629 + ... + 1031731.

Almost surely, 2^106263040 is an apocalyptic number.

106263040 is a gapful number since it is divisible by the number (10) 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 106263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848).

106263040 is an abundant number, since it is smaller than the sum of its proper divisors (179718656).

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

106263040 is a wasteful number, since it uses less digits than its factorization.

106263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 106263040 is about 10308.3965775478. The cubic root of 106263040 is about 473.6534940793.

The spelling of 106263040 in words is "one hundred six million, two hundred sixty-three thousand, forty".