106072512 has 168 divisors, whose sum is σ = 348057216. Its totient is φ = 27915264.

The previous prime is 106072511. The next prime is 106072513. The reversal of 106072512 is 215270601.

It is an interprime number because it is at equal distance from previous prime (106072511) and next prime (106072513).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×106072512² = 22502755603980288, 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 not an unprimeable number, because it can be changed into a prime (106072511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226903 + ... + 227369.

Almost surely, 2^106072512 is an apocalyptic number.

106072512 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 106072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174028608).

106072512 is an abundant number, since it is smaller than the sum of its proper divisors (241984704).

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

106072512 is a wasteful number, since it uses less digits than its factorization.

106072512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 106072512 is about 10299.1510329735. The cubic root of 106072512 is about 473.3702402398.

The spelling of 106072512 in words is "one hundred six million, seventy-two thousand, five hundred twelve".