114101376 has 64 divisors (see below), whose sum is σ = 306024480. Its totient is φ = 37664768.

The previous prime is 114101371. The next prime is 114101381. The reversal of 114101376 is 673101411.

It is an interprime number because it is at equal distance from previous prime (114101371) and next prime (114101381).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (114101371) 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, 39700 + ... + 42476.

Almost surely, 2^114101376 is an apocalyptic number.

114101376 is a gapful number since it is divisible by the number (16) 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 114101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153012240).

114101376 is an abundant number, since it is smaller than the sum of its proper divisors (191923104).

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

114101376 is a wasteful number, since it uses less digits than its factorization.

114101376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 114101376 is about 10681.8245632476. The cubic root of 114101376 is about 485.0244448656.

Adding to 114101376 its reverse (673101411), we get a palindrome (787202787).

The spelling of 114101376 in words is "one hundred fourteen million, one hundred one thousand, three hundred seventy-six".