101460114 has 160 divisors (see below), whose sum is σ = 290632320. Its totient is φ = 25754112.

The previous prime is 101460109. The next prime is 101460137. The reversal of 101460114 is 411064101.

It is a super-3 number, since 3×101460114³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 366144 + ... + 366420.

It is an arithmetic number, because the mean of its divisors is an integer number (1816452).

Almost surely, 2^101460114 is an apocalyptic number.

101460114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101460114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145316160).

101460114 is an abundant number, since it is smaller than the sum of its proper divisors (189172206).

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

101460114 is a wasteful number, since it uses less digits than its factorization.

101460114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101460114 is about 10072.7411363541. The cubic root of 101460114 is about 466.4070595754.

The spelling of 101460114 in words is "one hundred one million, four hundred sixty thousand, one hundred fourteen".