106729280 has 224 divisors, whose sum is σ = 316016640. Its totient is φ = 33546240.

The previous prime is 106729261. The next prime is 106729307. The reversal of 106729280 is 82927601.

106729280 = 498² + 499² + ... + 762².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×106729280² = 22782278418636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 106729280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2013734 + ... + 2013786.

Almost surely, 2^106729280 is an apocalyptic number.

106729280 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 106729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

106729280 is an abundant number, since it is smaller than the sum of its proper divisors (209287360).

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

106729280 is a wasteful number, since it uses less digits than its factorization.

106729280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 106729280 is about 10330.9864001459. The cubic root of 106729280 is about 474.3452178418.

The spelling of 106729280 in words is "one hundred six million, seven hundred twenty-nine thousand, two hundred eighty".